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What is 0.72 repeating as a fraction?

Updated: 9/20/2023
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Wiki User

14y ago

Best Answer

Turning repeating decimals to fractions are quite simple. All you need to do is take a look at what numbers are being repeated. For this question, as the 7 and the 2 are being repeated, we can see that there are only two numbers being repeated. So we put two 9's as the denominator for the fraction and 72 as the numerator. So a simple way to put this would be, however many numbers that are being repeated, that's how many 9's are needed for the denominator. Therefore, 0.72 repeating is 72/99 and simplified is 8/11.

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Honey Bitch

Lvl 2
3y ago
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Wiki User

14y ago

Suppose f = 0.7272..

Then 100f = 72.7272...

So, subtracting the first from the second, 99f = 72

ie f = 72/99 = 8/11

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India Worley

Lvl 2
3y ago

8/11

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Honey Bitch

Lvl 1
3y ago
Maybe put working out next time.

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Emmersyn Wright

Lvl 2
7mo ago

8/11

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Anonymous

Lvl 1
4y ago

Kid

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Anonymous

Lvl 1
4y ago

9/11

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Anonymous

Lvl 1
4y ago

8/11 i think

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Anonymous

Lvl 1
3y ago

18/25

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