## anonymous 4 years ago Express the repeating decimal number as a quotient of two integers

1. anonymous

|dw:1349106177251:dw|

2. anonymous

I know the answer is 317/11 I just can't figure out how to get the answer

3. klimenkov

$$\frac{2853}{99}$$

4. klimenkov

Let 28.(81) be x. So 100x=2881.(81). Now substract the first from the second: 99x=2853. Find x.

5. anonymous

so what am I subtracting

6. klimenkov

x=28.(81) and 100x=2881.(81). The first from the second.

7. anonymous

so subtracting 28

8. anonymous

and 1

9. anonymous

I see how to get 2853 I just don't understand the other side of the equation

10. klimenkov

Can you subtract 2881.(81)-28.(81). You do this to cancel the periond and get an integer.

11. anonymous

okay I got it now thank you

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