Question

How do you convert 0.83 (3 repeating) to a fraction?

Answer 1

So $x=0.8\overline{3}=\frac{5}{6}$

Explanation:

To format this question type you write : 0.8bar3

But you see the hash key just before 0.8bar3

and also at the end. So you end up with

$0.8\overline{3}$

Let $x=0.8\overline{3}$

Then $10x=0.8\overline{3}$

So $(10x-x)=8.3333\overline{3}$

$8.3333\overline{3}$ - Substracting

$9x=7.5$

Multiply both sides by 10

$90x=75$

Dividing both sides by 90

$x=\frac{75}{90}=\frac{5}{6}$

So, $x=0.8\overline{3}=\frac{5}{6}$