Question

hey mates please solve this question​

Answer 1

$\huge\underline\mathrm{SOLUTION:-}$

$\mathsf { \frac{ - 2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6} }$

$\mathsf { = \frac{ - 2}{3} \times \frac{3}{5} - \frac{3}{5} \times \frac{1}{6} + \frac{5}{2}\: (By \: Commutativity)}$

$\mathsf { = \frac{ - 3}{5} \Bigg( \frac{2}{3}\:+\:\frac{1}{6}\Bigg) + \frac{5}{2} \:(By \: Distributivity)}$

$= \frac{ - 3}{5} \Bigg( \frac{4\:+\: 1}{6} \Bigg) + \frac{5}{2}$

$= \frac{ - 3}{5} \times \frac{5}{6} + \frac{5}{2}$

$= \frac{ - 15}{30} + \frac{5}{2}$

$= \frac{ - 1}{2} + \frac{5}{2}$

$= \frac{4}{2}$

$= 2$

ThereFore:

• $\frac{ - 2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6} = 2$

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