## Step 2: Converting repeating decimals to fractions

1. Let x equal your repeating decimal. Call this equation

**1**eg, x=0.6666666...

2. Multiply both sides of your previous expressions by 10 . Call this equation

**2**eg, 10x=6.6666666...

3.Subtract equation

**2**from equation

**1**. eg, 9x=6 (see picture for clearer explanation)

4.Solve for x. eg, x=6/9

=2/3

5. But x is also equal to 0.66666..., therefore 0.666... is equal to 2/3.

NOTE: In harder repeating decimals such as decimals which repeat a string of number may need you to multiply by 100 or 1000 etc to allow the repeats behind the decimal point to cancel in the subraction

Thank you ssoooo much vey well explanided thanx guyzzz