Selina solutions

Selina solutions

Grade 7

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Question 13

Q13) Evaluate:

\left(\frac{32}{15}+\frac{8}{5}\right)\div\left(\frac{32}{15}-\frac{8}{5}\right)

Solution 13:

\left(\frac{32}{15}+\frac{8}{5}\right)\div\left(\frac{32}{15}-\frac{8}{5}\right)

LCM of 5 and 15 is 15.

\left(\frac{32}{15}+\frac{8\times3}{5\times3}\right)\div\left(\frac{32}{15}-\frac{8\times3}{5\times3}\right)

= \frac{32+24}{15}\div\frac{32-24}{15}

= \frac{56}{15}\div\frac{8}{15}

= \frac{56}{15}\times\frac{15}{8}=7

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