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Convert 0.83 into a fraction.​

1 Answer

4 votes

0.83 * 100 = 83, so 0.83 = 83/100.

But in case you meant the slightly more interesting repeating decimal, 0.8333...:

Let x denote this number. Then

10x = 8.333...

100x = 83.333...

==> 100x - 10x = 83.333... - 8.333...

==> 90x = 83 - 8 = 75

==> x = 75/90 = 5/6

User Suhey
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