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Convert 6.28282828 in to a fraction

User Paku
by
7.6k points

2 Answers

7 votes

here's how to convert 6.282828282828 to a fraction

slide the decimal point in this number to the right 2 place which is the same number of digits in the number 28

If we do this, we'll get a 628.282828

now, we have two numbers with the same repeating decimal parts, 628.282828 and 6.282828.

call your original number x

in this case, x=6.282828. The number with the decimal point slid over can be called 100x, because 100x=628.282828

100x = 628.283

- x = 6.28283

99x = 622

solve 99x=622 for x by dividing both sides of it by 99, we'll get that x=622/99

this can be written as a mixed number like ...


6(28)/(99)

hope this helps :)

User NizarETH
by
8.3k points
6 votes

Answer:

I got 6 and 28/99

Explanation:

I put it in a calculator about 10 times and this was the answer every time, sorry if it wasn't helpful

User Kolyuchiy
by
8.9k points
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