Evaluate: (7 8 24 21 )+ (-5 9 6 -25 ) - Vidyadip

Question

Evaluate: $\left(\frac{7}{8} \times \frac{24}{21}\right)+\left(\frac{-5}{9} \times \frac{6}{-25}\right)$

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Answer

$\begin{aligned} & \left(\frac{7}{8} \times \frac{24}{21}\right)+\left(\frac{-5}{9} \times \frac{6}{-25}\right) \\ & \Rightarrow \frac{7 \times 24}{8 \times 21}+\frac{-5 \times 6}{9 \times(-25)} \\ & \Rightarrow \frac{1 \times 3}{1 \times 3}+\frac{1 \times 2}{3 \times 5} \\ & \Rightarrow \frac{3}{3}+\frac{2}{15}\end{aligned}$

3	3,15
5	1,5
	1,1

$(\because$ L.C.M. of 3 and $15=15)$
$\begin{aligned} & \Rightarrow \frac{3 \times 5}{3 \times 5}+\frac{2 \times 1}{15 \times 1} \\ & \Rightarrow \frac{15+2}{15}=\frac{17}{15}=1 \frac{2}{15}\end{aligned}$

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