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Which of the following can be expressed as a terminating

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Which of the following can be expressed as a terminating

by VJesus12 » Thu May 03, 2018 10:23 am

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C

D

E

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Which of the following can be expressed as a terminating decimal?

A. 1/25 + 1/35
B. 1/225 + 1/1,250
C. 1/11,000 + 1/13,000
D. 1/75 + 1/35
E. 1/125 + 1/8

The OA is the option E.

Can someone tell me how to solve this PS question? What is the best way of solving it? Thanks in advance.
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by Vincen » Thu May 03, 2018 11:18 am
Hello vjesus12.

I would suggest you to start with the simplest options:

A. 1/25 + 1/35 $$\frac{1}{25}+\frac{1}{35}=\frac{1}{5}\left(\frac{1}{5}+\frac{1}{7}\right)=\frac{1}{5}\left(\frac{7+5}{35}\right)=\frac{1}{7}\cdot\frac{12}{25}\ not\ \text{terminating}\ \text{decimal}.\ \ \ \ $$

E. 1/125 + 1/8 $$\frac{1}{125}+\frac{1}{8}=\frac{8+125}{1000}=\frac{133}{1000}=0,133.$$ Here we get the a terminating decimal.

Therefore, the correct answer is the option E.

I hope this way may help you.
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