FutureStarr

9 5 in Decimal Form ORR

## 9 5 in Decimal Form

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This is the decimal form of 9 over 5. To review, to change a fraction to a decimal – we just divide the numerator (bottom number) by the denominator (top number).

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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.

Finally, why are powers of 11 related to Pascal's Triangle? Because if E is a power of 11 then the next power is 11 E or (10+1) E so we have the previous power's neighbouring digits added to get the digits of the next power of 11, just as we found elements in Pascal's triangle by adding the two in the previous row to get the one in the next row under them. (Source: www.maths.surrey.ac.uk)

### Use

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This page is about converting a fraction (i.e. a ratio of two numbers, also called a rational number) into a decimal fraction and the patterns that occur in such a decimal fraction. It is interactive and you can use the calculators on this page to investigate fractions for yourself to many decimal places. No special knowledge beyond decimals and division is required.

The same is true when deciding on which side of the road to drive. It is a convention in the UK that we drive on the left, but the convention in France is to drive on the right. So long as you go with the convention when driving in Britain and go with the other convention when in France, then there is no problem. But make sure you know which convention is being used in any other country! (Source: www.maths.surrey.ac.uk)

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