How can you? Do you kind of multiply or divide? Subtract maybe or add? Maybe put the fractions in it's lowest terms? It might not be neather. Ummmm....

You count the number of decimal places and write 1 followed by as many zeroes as there are decimal places. Then you take the figures after the decimal point as a whole number and divide by the number made up of the 1 and zeroes. That's your fraction. Example: 7.3125. 4 decimal places means we create the number 10000. Use this as the denominator: 3125/10000. This cancels down by dividing by 25 top and bottom: 125/400. We can divide further by 25: 5/16. So 7.3125=7 5/16. Another example: 0.0124=124/10000=31/2500.

What about recurring decimals? This time we write a row of 9's with as many 9's as their are recurring portions of the decimal: 0.285714285714285714... The recurring part is 285714 and so we need 6 nines in a row: 999999. We use this as the denominator with the recurring numbers as the numerator: 285714/999999=2/7. Another example: 1.076923. The fraction part is 76923/999999=1/13 and the number is 1 1/13.

But what about 0.166666...? The recurring part doesn't start till after the 1. Multiply by 10 to move the decimal point: 1.666666. Now the recurring part is just 6 and the fraction is 6/9=2/3 and the complete number is 1 2/3 which we make into an improper fraction: 5/3. But we need to divide this by 10 because we multiplied by 10 earlier: (5/3)/10=5/30=1/6. Let's try another: 0.041666666... Multiply by 1000 to move the decimal point 3 places: 41.666666... which is 41 2/3=125/3. We now need to divide by 1000: 125/3000=1/24. Example: 7.00333333... Put the 7 aside for a moment. 0.00333333... Multiply by 100: 0.33333... which is 3/9=1/3. Now divide by 100: 1/300, and put the 7 back: 7 1/300.

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