Step 2: Converting repeating decimals to fractions

Converting repeating decimals to fractions it a little bit harder than typing it in on a calculator because the calculator doesn't have an infinitely long screen. Still it can be done with relative ease if you just think it simple. Converting repeating decimals requires a little algebraic manipulation.

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

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
<p>Thank you ssoooo much vey well explanided thanx guyzzz</p>
yeah, maths is cool, grammar is not!
dis is fully like the best thing i've eva read!!!! heaps awesum man fully sik
maths is cool? my gramer is almost as good as yous. nice 'ible' by the way

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