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1 3 as a decimal
It’s widely accepted that 1. 3 is a decimal. However, for some reason, depending on how you write it, it can be read as 1 × 10 to the third power. It’s the 17th most common decimal. And depending on how you write it, it can be read as 1. 3. One has seven zeros after the decimal, so 1. 3 has six zeros to the right of it.
When you look at a fraction, you may see that it reminds you of a division bar. That is one way you can remember how to convert a fraction into a decimal! Simply divide the numerator by the denominator, and this will give you the correct decimal. (Source: study.com 1/3 in decimal form is 0.3333 (repeating). 1/3 as a decimal is a repeating decimal, which means it has no end point. Typically it is written as 0.3 or... (Source:study.com))
Dealing with fractions and decimals is part of our daily lives. It is for this reason everyone needs to understand decimals and fractions. In this lesson, we discuss real world examples of decimals and fractions. (Source: study.com Conversions can be a time saver and an extreme help when solving complex problems. Discover how to convert (or change) percentages, fractions, and decimals. (Source:study.com))
I'll now show you how to convert a fraction into a decimal. And if we have time, maybe we'll learn how to do a decimal into a fraction. So let's start with, what I would say, is a fairly straightforward example. Let's start with the fraction 1/2. And I want to convert that into a decimal. So the method I'm going to show you will always work. What you do is you take the denominator and you divide it into the numerator. Let's see how that works. So we take the denominator-- is 2-- and we're going to divide that into the numerator, 1. And you're probably saying, well, how do I divide 2 into 1? Well, if you remember from the dividing decimals module, we can just add a decimal point here and add some trailing 0's. We haven't actually changed the value of the number, but we're just getting some precision here. We put the decimal point here. Does 2 go into 1? No. 2 goes into 10, so we go 2 goes into 10 five times. 5 times 2 is 10. Remainder of 0. We're done. So 1/2 is equal to 0.5. Let's do a slightly harder one. Let's figure out 1/3. Well, once again, we take the denominator, 3, and we divide it into the numerator. And I'm just going to add a bunch of trailing 0's here. 3 goes into-- well, 3 doesn't go into 1. 3 goes into 10 three times. 3 times 3 is 9. Let's subtract, get a 1, bring down the 0. 3 goes into 10 three times. Actually, this decimal point is right here. 3 times 3 is 9. Do you see a pattern here? We keep getting the same thing. As you see it's actually 0.3333. It goes on forever. And a way to actually represent this, obviously you can't write an infinite number of 3's. Is you could just write 0.-- well, you could write 0.33 repeating, which means that the 0.33 will go on forever. Or you can actually even say 0.3 repeating. Although I tend to see this more often. Maybe I'm just mistaken. But in general, this line on top of the decimal means that this number pattern repeats indefinitely. So 1/3 is equal to 0.33333 and it goes on forever. Another way of writing that is 0.33 repeating. Let's do a couple of, maybe a little bit harder, but they all follow the same pattern. Let me pick some weird numbers. Let me actually do an improper fraction. Let me say 17/9. So here, it's interesting. The numerator is bigger than the denominator. So actually we're going to get a number larger than 1. But let's work it out. So we take 9 and we divide it into 17. And let's add some trailing 0's for the decimal point here. So 9 goes into 17 one time. 1 times 9 is 9. 17 minus 9 is 8. Bring down a 0. 9 goes into 80-- well, we know that 9 times 9 is 81, so it has to go into it only eight times because it can't go into it nine times. 8 times 9 is 72. 80 minus 72 is 8. Bring down another 0. I think we see a pattern forming again. 9 goes into 80 eight times. 8 times 9 is 72. And clearly, I could keep doing this forever and we'd keep getting 8's. So we see 17 divided by 9 is equal to 1.88 where the 0.88 actually repeats forever. Or, if we actually wanted to round this we could say that that is also equal to 1.-- depending where we wanted to round it, what place. We could say roughly 1.89. Or we could round in a different place. I rounded in the 100's place. But this is actually the exact answer. 17/9 is equal to 1.88. I actually might do a separate module, but how would we write this as a mixed number? Well actually, I'm going to do that in a separate. I don't want to confuse you for now. Let's do a couple more problems. Let me do a real weird one. Let me do 17/93. What does that equal as a decimal? Well, we do the same thing. 93 goes into-- I make a really long line up here because I don't know how many decimal places we'll do. And remember, it's always the denominator being divided into the numerator. This used to confuse me a lot of times because you're often dividing a larger number into a smaller number. So 93 goes into 17 zero times. There's a decimal. 93 goes into 170? Goes into it one time. 1 times 93 is 93. 170 minus 93 is 77. Bring down the 0. 93 goes into 770? Let's see. It will go into it, I think, roughly eight times. 8 times 3 is 24. 8 times 9 is 72. Plus 2 is 74. And then we subtract. 10 and 6. It's equal to 26. Then we bring down another 0. 93 goes into 26-- about two times. 2 times 3 is 6. 18. This is 74. 0. So we could keep going. We could keep figuring out the decimal points. You could do this indefinitely. But if you wanted to at least get an approximation, you would say 17 goes into 93 0.-- or 17/93 is equal to 0.182 and then the decimals will keep going. And you can keep doing it if you want. If you actually saw this on exam they'd probably tell you to stop at some point. You know, round it to the nearest hundredths or thousandths place. And just so you know, let's try to convert it the other way, from decimals to fractions. Actually, this is, I think, you'll find a much easier thing to do. If I were to ask you what 0.035 is as a fraction? Well, all you do is you say, well, 0.035, we could write it this way-- we could write that's the same thing as 03-- well, I shouldn't write 035. That's the same thing as 35/1,000. And you're probably saying, Sal, how did you know it's 35/1000? Well because we went to 3-- this is the 10's place. Tenths not 10's. This is hundreths. This is the thousandths place. So we went to 3 decimals of significance. So this is 35 thousandths. If the decimal was let's say, if it was 0.030. There's a couple of ways we could say this. Well, we could say, oh well we got to 3-- we went to the thousandths Place. So this is the same thing as 30/1,000. or. We could have also said, well, 0.030 is the same thing as 0.03 because this 0 really doesn't add any value. If we have 0.03 then we're only going to the hundredths place. So this is the same thing as 3/100. So let me ask you, are these two the same? Well, yeah. Sure they are. If we divide both the numerator and the denominator of both of these expressions by 10 we get 3/100. Let's go back to this case. Are we done with this? Is 35/1,000-- I mean, it's right. That is a fraction. 35/1,000. But if we wanted to simplify it even more looks like we could divide both the numerator and the denominator by 5. And then, just to get it into simplest form, that equals 7/200. And if we wanted to convert 7/200 into a decimal using the technique we just did, so we would do 200 goes into 7 and figure it out. We should get 0.035. I'll leave that up to you as an exercise. Hopefully now you get at least an initial understanding of how to convert a fraction into a decimal and maybe vice versa. And if you don't, just do some of the practices. And I will also try to record another module on this or another presentation. Have fun with the exercises. (Source: www.khanacademy.org)
I'll now show you how to convert a fraction into a decimal. And if we have time, maybe we'll learn how to do a decimal into a fraction. So let's start with, what I would say, is a fairly straightforward example. Let's start with the fraction 1/2. And I want to convert that into a decimal. So the method I'm going to show you will always work. What you do is you take the denominator and you divide it into the numerator. Let's see how that works. So we take the denominator-- is 2-- and we're going to divide that into the numerator, 1. And you're probably saying, well, how do I divide 2 into 1? Well, if you remember from the dividing decimals module, we can just add a decimal point here and add some trailing 0's. We haven't actually changed the value of the number, but we're just getting some precision here. We put the decimal point here. Does 2 go into 1? No. 2 goes into 10, so we go 2 goes into 10 five times. 5 times 2 is 10. Remainder of 0. We're done. So 1/2 is equal to 0.5. Let's do a slightly harder one. Let's figure out 1/3. Well, once again, we take the denominator, 3, and we divide it into the numerator. And I'm just going to add a bunch of trailing 0's here. 3 goes into-- well, 3 doesn't go into 1. 3 goes into 10 three times. 3 times 3 is 9. Let's subtract, get a 1, bring down the 0. 3 goes into 10 three times. Actually, this decimal point is right here. 3 times 3 is 9. Do you see a pattern here? We keep getting the same thing. As you see it's actually 0.3333. It goes on forever. And a way to actually represent this, obviously you can't write an infinite number of 3's. Is you could just write 0.-- well, you could write 0.33 repeating, which means that the 0.33 will go on forever. Or you can actually even say 0.3 repeating. Although I tend to see this more often. Maybe I'm just mistaken. But in general, this line on top of the decimal means that this number pattern repeats indefinitely. So 1/3 is equal to 0.33333 and it goes on forever. Another way of writing that is 0.33 repeating. Let's do a couple of, maybe a little bit harder, but they all follow the same pattern. Let me pick some weird numbers. Let me actually do an improper fraction. Let me say 17/9. So here, it's interesting. The numerator is bigger than the denominator. So actually we're going to get a number larger than 1. But let's work it out. So we take 9 and we divide it into 17. And let's add some trailing 0's for the decimal point here. So 9 goes into 17 one time. 1 times 9 is 9. 17 minus 9 is 8. Bring down a 0. 9 goes into 80-- well, we know that 9 times 9 is 81, so it has to go into it only eight times because it can't go into it nine times. 8 times 9 is 72. 80 minus 72 is 8. Bring down another 0. I think we see a pattern forming again. 9 goes into 80 eight times. 8 times 9 is 72. And clearly, I could keep doing this forever and we'd keep getting 8's. So we see 17 divided by 9 is equal to 1.88 where the 0.88 actually repeats forever. Or, if we actually wanted to round this we could say that that is also equal to 1.-- depending where we wanted to round it, what place. We could say roughly 1.89. Or we could round in a different place. I rounded in the 100's place. But this is actually the exact answer. 17/9 is equal to 1.88. I actually might do a separate module, but how would we write this as a mixed number? Well actually, I'm going to do that in a separate. I don't want to confuse you for now. Let's do a couple more problems. Let me do a real weird one. Let me do 17/93. What does that equal as a decimal? Well, we do the same thing. 93 goes into-- I make a really long line up here because I don't know how many decimal places we'll do. And remember, it's always the denominator being divided into the numerator. This used to confuse me a lot of times because you're often dividing a larger number into a smaller number. So 93 goes into 17 zero times. There's a decimal. 93 goes into 170? Goes into it one time. 1 times 93 is 93. 170 minus 93 is 77. Bring down the 0. 93 goes into 770? Let's see. It will go into it, I think, roughly eight times. 8 times 3 is 24. 8 times 9 is 72. Plus 2 is 74. And then we subtract. 10 and 6. It's equal to 26. Then we bring down another 0. 93 goes into 26-- about two times. 2 times 3 is 6. 18. This is 74. 0. So we could keep going. We could keep figuring out the decimal points. You could do this indefinitely. But if you wanted to at least get an approximation, you would say 17 goes into 93 0.-- or 17/93 is equal to 0.182 and then the decimals will keep going. And you can keep doing it if you want. If you actually saw this on exam they'd probably tell you to stop at some point. You know, round it to the nearest hundredths or thousandths place. And just so you know, let's try to convert it the other way, from decimals to fractions. Actually, this is, I think, you'll find a much easier thing to do. If I were to ask you what 0.035 is as a fraction? Well, all you do is you say, well, 0.035, we could write it this way-- we could write that's the same thing as 03-- well, I shouldn't write 035. That's the same thing as 35/1,000. And you're probably saying, Sal, how did you know it's 35/1000? Well because we went to 3-- this is the 10's place. Tenths not 10's. This is hundreths. This is the thousandths place. So we went to 3 decimals of significance. So this is 35 thousandths. If the decimal was let's say, if it was 0.030. There's a couple of ways we could say this. Well, we could say, oh well we got to 3-- we went to the thousandths Place. So this is the same thing as 30/1,000. or. We could have also said, well, 0.030 is the same thing as 0.03 because this 0 really doesn't add any value. If we have 0.03 then we're only going to the hundredths place. So this is the same thing as 3/100. So let me ask you, are these two the same? Well, yeah. Sure they are. If we divide both the numerator and the denominator of both of these expressions by 10 we get 3/100. Let's go back to this case. Are we done with this? Is 35/1,000-- I mean, it's right. That is a fraction. 35/1,000. But if we wanted to simplify it even more looks like we could divide both the numerator and the denominator by 5. And then, just to get it into simplest form, that equals 7/200. And if we wanted to convert 7/200 into a decimal using the technique we just did, so we would do 200 goes into 7 and figure it out. We should get 0.035. I'll leave that up to you as an exercise. Hopefully now you get at least an initial understanding of how to convert a fraction into a decimal and maybe vice versa. And if you don't, just do some of the practices. And I will also try to record another module on this or another presentation. Have fun with the exercises. (Source: www.khanacademy.org)
To get 21 1/3 in decimal form, we basically convert the mixed number to a fraction and then we divide the numerator of the fraction by the denominator of the fraction. (Source: decimal.info)Here are the detailed math steps we use to convert 21 1/3 mixed number to decimal form: (Source: decimal.info)
That's it folks! The answer to 21 1/3 in decimal form is displayed below: (Source: decimal.info
What is 21 1/4 in decimal form? (Source: decimal.info)21 1/3 in decimal form is not all we can do! Here you can convert another mixed number to decimal form. (Source:decimal.info))
Here is the next mixed number on our list that we have converted into decimal form. (Source: decimal.info Here you can find 26 1/3 as a decimal, along with useful information regarding 26 1/3 in decimal form. (Source:fractiontodecimal.net f
The terms used in this article about 26 1/3 as decimal are explained in detail on our home page; check it out if anything remains unclear. (Source: fractiontodecimal.net)Simply the Best Fraction to Decimal Converter! Click To TweetIf you have been searching for 26 and 1 over 3 as a decimal, then you are right here, too. (Source:ractiontodecimal.net)))
26 1/3 in decimal notation has unlimited decimal places. That is, 26 1/3 as decimal is a non-terminating, repeating decimal. The repeating pattern or sequence, known as repetend or reptend of 26 1/3 as decimal, can be written with a vinculum, that is overlined, as an ellipsis using three dots …, in parentheses (), or with or with a dot above the outermost digits of the repetend. Thus: (Source: fractiontodecimal.net 26 1/3 as a decimal = 26.3 (Source:fractiontodecimal.net))
26 1/3 in decimal form = [katex]26.\dot{3}[/katex] (Source: fractiontodecimal.net Twenty-six and one third as a decimal = 26.(3) (Source:fractiontodecimal.net))
26 and 1 over 3 as a decimal = 26.3… (Source: fractiontodecimal.net)Now that you know what is 26 1/3 as a decimal you can learn how to change 26 1/3 to a decimal number in the following section. (Source: fractiontodecimal.net)
To convert 26 1/3 to decimal you can use the long division method explained in our article fraction to decimal, which you can find in the header menu. (Source: fractiontodecimal.net 26 6/3 as a decimal (Source:fractiontodecimal.net))
26 7/3 as a decimal (Source: fractiontodecimal.net)
26 8/3 as a decimal (Source: fractiontodecimal.net You already know the answer to what is 26 1/3 as a decimal. Twenty-six and one third as a decimal equals 26.(3) (Source:fractiontodecimal.net fInstead of a slash, the division symbol ÷, known as obelus, can be used to denote a fraction: For example: 26 1÷3 in decimal or 26 1÷3 as decimal. (Source:ractiontodecimal.net)))
Note that you can find many fraction to decimal conversions using the search form in the sidebar. (Source: fractiontodecimal.net)
Alternatively, you may look up terms like converting 26 1/3 to decimal, or 26 1/3 as a number in decimal form, just to name a few more possibilities you have when using our search form. (Source: fractiontodecimal.net For example, you can type 26 and 1 over 3 as a decimal. Then hit the go button. (Source:fractiontodecimal.net))
www.calculatorsoup.com)Convert mixed numbers or mixed fractions to decimal numbers. Mixed number to decimal calculator finds the decimal equivalent by converting a mixed number, fraction, integer or whole number to a decimal and shows the work. (Source:
Convert the fraction to a decimal: Divide the numerator by the denominator (Source: www.calculatorsoup.com Follow these 2 steps to convert a mixed number to a decimal: (Source:www.calculatorsoup.com w
A mixed number is a whole number plus a fraction. To find the decimal form of a fraction just divide the numerator by the denominator using a calculator or long division. Then add the decimal number to the whole number. (Source: www.calculatorsoup.com)Add this decimal number to the whole number part of the mixed number (Source:ww.calculatorsoup.com)))
Convert the fraction to a decimal: Divide 1 by 4 (Source: www.calculatorsoup.com Convert the fraction to a decimal: Divide 9 by 5 (Source:www.calculatorsoup.com w
A mixed number such as 7 1/4 can be converted to a decimal. It is implied that 7 1/4 is really 7 + 1/4 and that 7 = 7/1, therefore we are first adding the fraction 7/1 + 1/4. Since 4 is the denominator in the original fraction part we will use it as our common denominator. 7/1 * 4/4 = 28/4. Then, 28/4 + 1/4 = 29/4. 29/4 = 29 ? 4 = 7.25. (Source: www.calculatorsoup.com)Alternatively you can convert a mixed number to a decimal by first converting the mixed number to two fractions, adding them and simplifying to a decimal. (Source:ww.calculatorsoup.com)))
You can also see our Long Division Calculator with Decimals to convert a fraction to a decimal and see the work involved in the long division. (Source: www.calculatorsoup.com)To convert a decimal to a fraction see the Decimal to Fraction Calculator. (Source: www.calculatorsoup.com Furey, Edward "Mixed Number to Decimal Calculator" at https://www.calculatorsoup.com/calculators/math/mixed-number-to-decimal-calculator.php from CalculatorSoup, https://www.calculatorsoup.com - Online Calculators (Source:www.calculatorsoup.com))
To convert fractions to decimals and millimeters and vice-versa use this formula: (Source: coolconversion.com 1 3/16 is equal to 1.1875 in decimal form. Use our fraction to decimal calculator to convert any fraction to a decimal and to know if it is a terminating or a recurring (repeating) decimal. (Source:coolconversion.com c
Look down the decimal column until you find 0.875, then read to the left to find 7/8 inches or move to the right column to find the mm value! (Source: coolconversion.com)Convert 0.875 decimal inches to inches (fraction form). (Source:oolconversion.com)))
Convert the proper fraction to decimal: Divide the numerator by the denominator (Source: calculator.name What is 21 1/3 as a decimal? 21 1/3 as a decimal is 21.333333333333. Here we will show you step-by-step with detailed explanation how to convert 21 1/3 as a decimal number. (Source:calculator.name cAdd this decimal number to the whole number of the mixed fraction (Source:alculator.name)))
The mixed number 21 1/3 converted to decimal number is therefore: (Source: calculator.name / Common Fractions with Decimal and Percent Equivalents (Source:www.factmonster.com wFractions and decimals are two common ways to write out partial numbers. Here's who to turn one into the other. (Source:ww.factmonster.com)))
The best way to calculate decimals is using long division. That's a bit of an involved process, so we won't go over that step by step here. The important thing to know is that, most of the time, you only want to write out to the second decimal place (or the "hundredths" place). (Source: www.factmonster.com A decimal is another way of showing a partial number. It's called a "decimal" because it's done in groups of ten ("dec-" in Latin), like normal numbers. With a decimal, though, the numbers go after the 1s place instead of before. The number of places we go beyond 1 are called decimal places. To keep things simple, we mark off the start of these decimal numbers with a decimal point or period. An example would be 1.1 or 5.6 (Source:www.factmonster.com wConverting fractions to decimals is simple once you know your division. To turn a fraction into a decimal, divide the numerator by the denominator. So if you have 3/4, divide 3 by 4. (Source:ww.factmonster.com)))
To convert a decimal into a fraction, you just have to do the same process in reverse. Create a fraction with the decimal as the numerator and "1" as the denominator. Then multiply them both by ten as many times as you need to get whole numbers on top and bottom. This will give you a fraction. (Source: www.factmonster.com The result won't always have a simple answer. In some cases, there is no easy way to divide. 1/3, for example, comes out to .33 (with more 3s going on forever). These are called repeating decimals. You show that a decimal repeats by drawing a line over the last two numbers. (Source:www.factmonster.com))