## anonymous 4 years ago how do you turn a decimal into a fraction?

1. Hero

.1 = 1/10 As a decimal, you describe .1 as "one-tenth" because it means the same as 1/10 Get it?

2. anonymous

sooo, 3.4 would be 3 2/5?

3. TuringTest

as a mixed fraction, yes

4. anonymous

whats the other fraction called again?

5. anonymous

improper fraction

6. TuringTest

7. anonymous

ok, thank you very much

8. myininaya

what about writing this as a fraction: $.5124124124124\cdots$ So first let $x=.5124124124124\cdots$ So $10000x=5124.124124124124 \cdots$ So if we take the 2nd equation-10*1st equation we get $10000x-10x=5124.124124\cdots -5.124124124124 \cdots$ $9990x=5124-5$ $9990x=5119$ so this means $x=\frac{5119}{9990}$ But remember what we called x? => $\frac{5119}{9990}=.5124124124124\cdots$

9. Hero

myininaya, I had a feeling you were going to turn this into a lecture.