Question

verify that 2/3×(4/5+7/8)=(2/3×4/5)+(2/3×7/8)​

Answer 1

$\frac{2}{3} \times ( \frac{4}{5} + \frac{7}{8} ) = ( \frac{2}{3} \times \frac{4}{5} ) + ( \frac{2}{3} \times \frac{7}{8} ) \\ \bold lhs = > \\ \frac{2}{3} \times ( \frac{4}{5} + \frac{7}{8} ) \\ = \frac{2}{3} \times ( \frac{32 + 35}{40} ) \\ = \frac{2}{3} \times \frac{67}{40} \\ = \frac{67}{60} \\ \bold{ rhs = } > \\ ( \frac{2}{3} \times \frac{4}{5} ) + ( \frac{2}{3} \times \frac{7}{8} ) \\ = \frac{8}{15} + \frac{14}{24} \\ lcm \: of \: 15 \: and \: 24 \: is \: 120 \\ = \frac{64 + 70}{120} \\ = \frac{134}{120} \\ = \frac{67}{60}$

Hence,LHS = RHS

proved.

Answer 2

Answer:

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