Question

use distributive property
-1/6*4/7+1/2-3/7*1/6​

Answer 1

$\underline {\blue { Distributive \: property }}$

$\pink { A\times B + A \times C = A(B+C) }$

$Here , A = \frac{-1}{6} , B = \frac{4}{7} \:and \\C= \frac{3}{7}$

$= \frac{-1}{6} \times \frac{4}{7} + \frac{3}{7}\times \frac{-1}{6} + \frac{1}{2}$

$= \frac{-1}{6} \big( \frac{4}{7} + \frac{3}{7} \big) + \frac{1}{2} \\= \frac{-1}{6} \big( \frac{4+3}{7}\big) + \frac{1}{2} \\= \frac{-1}{6} \big( \frac{7}{7}\big) + \frac{1}{2} \\= \frac{-1}{6}+ \frac{1}{2} \\= \frac{-1+3}{6} \\= \frac{2}{6} \\= \frac{1}{3}$

Therefore.,

$\left( \frac{-1}{6} \right) \times \big ( \frac{4}{7} + \frac{3}{7}\times \frac{-1}{6} \big)+ \frac{1}{2}$

$\green { = \frac{1}{3}}$

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