Question

Solve the problem using appropriate properties -2/3×3/5+-3/5×1/6​

Answer 1

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

$\pink{ a,b,c \in Q , \: a\times b + a \times c = a(b+c) }$

$Here \: given\:\frac{-2}{3} \times \frac{3}{5} + \frac{-3}{5} \times \frac{1}{6}$

$= \frac{3}{5} \Big( \frac{-2}{3} - \frac{1}{6}\Big)$

$= \frac{3}{5} \Big( \frac{-4-1}{6} \Big)$

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

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

Therefore.,

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

$\green { = \frac{-1}{2}}$

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