Find using distributivity. (i) 9 16 4 12 + 9 16 (-3 9 ) - Vidyadip

Question

Find using distributivity.
(i) $\left\{\frac{9}{16} \times \frac{4}{12}\right\}+\left\{\frac{9}{16} \times\left(\frac{-3}{9}\right)\right\}$

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Answer

$ \text {(i) We have, } \begin{array}{c} \left\{\frac{9}{16} \times \frac{4}{12}\right\}+\left\{\frac{9}{16} \times\left(\frac{-3}{9}\right)\right\} =\frac{9}{16} \times\left[\frac{4}{12}+\left(\frac{-3}{9}\right)\right] \end{array}\quad$
[by distributivity, taking $\frac{9}{16}$ as common factor]
$\begin{array}{l}=\frac{9}{16} \times\left[\frac{4}{12}-\frac{3}{9}\right] \\ =\frac{9}{16} \times\left[\frac{12-12}{36}\right] \quad[\because \text { LCM of } 12 \text { and } 9=36] \\ =\frac{9}{16} \times \frac{0}{36}=\frac{9}{16} \times 0 \\ =0\quad\left[\because \frac{0}{36}=0\right]\end{array} $

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