Question

How do you convert .63 (3 repeating) to a fraction?

Answer 1

`57/90`

Explanation:

For formatting questions of this type Use the equation form of:

0.6bar3. Is you use the hash key at the beginning and end this looks like: `0.6bar3`. The dash above the three means that it is repeating.
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Let `x=0.6bar3`

Then `10x=6.3bar3`

So `10x-x= 6.33bar3`
`color(white)("ddddddddddd")underline( 0.63bar3) " Subtraction"`
`color(white)("dd")10x-x = 5.7`

So`" "9x=5.7`

To 'get rid of the decimal multiply both sides by 10

`" "90x=57`

Divide both sides by 90

`" "x=57/90`

Thus: `x=0.6bar3 = 57/90`