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Rational Numbers — MATHS STD 8 — Question

Gujarat BoardEnglish MediumSTD 8MATHSRational Numbers2 Marks
Question
Find $\quad \frac{2}{5} \times \frac{-3}{7}-\frac{1}{14}-\frac{3}{7} \times \frac{3}{5}$
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Answer

$\begin{aligned} \frac{2}{5} \times \frac{-3}{7}-\frac{1}{14}-\frac{3}{7} \times \frac{3}{5} & =\frac{2}{5} \times \frac{-3}{7}-\frac{3}{7} \times \frac{3}{5}-\frac{1}{14} \quad \text { (by commutativity) } \\ & =\frac{2}{5} \times \frac{-3}{7}+\left(\frac{-3}{7}\right) \times \frac{3}{5}-\frac{1}{14} \\ & =\frac{-3}{7}\left(\frac{2}{5}+\frac{3}{5}\right)-\frac{1}{14} \quad \text { (by distributivity) } \\ & =\frac{-3}{7} \times 1-\frac{1}{14}=\frac{-6-1}{14}=\frac{-1}{2}\end{aligned}$

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