Question 10

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waecmaths question: 

If m =4, n =9 and r =16, evaluate $\tfrac{m}{n}-1\tfrac{7}{9}+\tfrac{n}{r}$

Option A: 

$1\tfrac{5}{16}$

Option B: 

$1\tfrac{1}{16}$

Option C: 

$\tfrac{5}{16}$

Option D: 

 $-\tfrac{37}{48}$

waecmaths solution: 

$\begin{align}  & \frac{m}{n}-1\frac{7}{9}+\frac{n}{r}=\frac{4}{9}-\frac{16}{9}+\frac{9}{16} \\ & \frac{m}{n}-1\frac{7}{9}+\frac{n}{r}=\frac{64-256+81}{9(16)} \\ & \frac{m}{n}-1\frac{7}{9}+\frac{n}{r}=-\frac{111}{9(16)}=-\frac{37}{48} \\\end{align}$

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