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How to convert a fraction to a decimal

# How to convert a fraction to a decimal

## How to convert a fraction to a decimal

Dividing numbers is easy with a calculator. If you need to do long division by hand put the top number of the fraction (numerator) inside the division bracket and the bottom number (denominator) outside, to the left of the division bracket.The process for converting a fraction to a decimal number is fairly simple. If a fraction is a number with a numerator divisor that is less than 1, then the number in the numerator will be replaced with a decimal. And the number in the denominator will remain a fraction, so the resulting decimal number will have a denominator of 1.

## Fraction

via GIPHY

In this image, each measuring cup has the same amount of juice in it. But we've expressed this amount in three ways: as a fraction, as a percent, and as a decimal. Since they're expressing the same amount, we know that 1/2, 50%, and 0.5 are equal to each other. Any time we see 1/2, we'll know it can also mean 5.Every fraction can also be written as a decimal, and vice versa. You may not do this very often, but converting decimals and fractions can help you in math. For example, it's easier to subtract 1/6 from 0.52 if you turn 1/6 into a decimal first.

Sometimes it's useful to convert one kind of number into another. For example, it's much easier to add 1/4 and 0.5 if you turn 0.5 into a fraction. Learning how to convert fractions, decimals, and percents will also help you as you learn more advanced math.Knowing how to write percents as fractions and vice versa can help you in your everyday life. For example, let's say you earned a grade of 80% on a test. You can convert 80% into a fraction to find out how many of your answers were correct. When your teacher grades the test, she may do the opposite. If a student got 8 out of 10 questions right, the teacher can convert 8/10 to a percent to give the student a grade. (Source:edu.gcfglobal.org)

## Decimal

Both fractions and decimals are just two ways to represent numbers. Fractions are written in the form of p/q, where q≠0, while in decimals, the whole number part and fractional part are connected through a decimal point, for example, 0.5. Fractions and decimals represent the relationship of part by whole. In both fractions and decimals, we represent the whole by 1. Let us look at some examples to understand the relationship between fractions and decimals.

Consider a full-thin crust pizza with 6 slices. Your mother gave half of it, i.e., 3 slices then in fractional form, we write it as 1/2, and in the decimal form, we write it as 0.5.Such problems are solved by dividing the numerator by the denominator. Here, we need to divide 25 by 1000. To divide 25 by 1000, we will simply shift it by 3 decimal places on the right. Here in the numerator, we have only 2 digits (25) so here we will introduce one zero before 025. The decimal place of the final answer depends upon the number of trailing zeros present in the digit of the denominator. Thus, after division, we get: (Source: www.cuemath.com)

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