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I have several problems in this format and I don't know where to start. I understand the distributive property until I get to some fractions. The directions say write each fraction as a sum or difference. Here is an example of one of them:

$$\displaystyle\frac{2m-5}{9}$$

Any help is appreciated

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  • $\begingroup$ What do you mean by $\underline{2m-5}$? (If that's what you actually want.) $\endgroup$ – mrf Sep 7 '15 at 21:28
  • $\begingroup$ Hint: Consider $\frac {1}{9}=9^{-1} $ $\endgroup$ – Karl Sep 7 '15 at 21:29
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Another way to write $$\frac{2m-5}{9}$$ is $$\frac{1}{9}(2m-5)$$ From this it is much easier to see how the distributive property applies. We get $$\frac{1}{9}(2m)-\frac{1}{9}(5)=\frac{2m}{9}-\frac{5}{9}$$

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$${2m-5\over 9} = \frac19(2m-5)=\frac{2m}9-\frac59$$

You have distributed the fraction $$\frac19$$ in order to write the original expression as a difference.

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  • $\begingroup$ Alright thanks, I reformatted it $\endgroup$ – limepickle Sep 7 '15 at 22:21
  • $\begingroup$ You're welcome. $\endgroup$ – Matt Samuel Sep 7 '15 at 22:24

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