Using appropriate identity solve:
-2/3 * 3/5 + 5/2 - 3/5 * 1/6

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Solution

-2/33/5 + 5/2 - 3/51/6

First, use the cummutative (and associative) properties of addition and multiplication to change the order:

5/2 - 3/52/3 - 3/51/6

and then use the distributive law to factor out -3/5:

5/2 - (3/5)(2/3 + 1/6)

Common denominator and add, then reduce, and the rest is simple:

5/2 - (3/5)(4/6 + 1/6) = 5/2 - 3/5*5/6 = 5/2 - 3/6 = 5/2 - 1/2 = 4/2 = 2

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Similar questions

Using appropriate properties, find:

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

\frac{2}{5} \times (\begin{matrix} - \frac{3}{7} \end{matrix}) - \frac{1}{6} \times \frac{3}{2} + \frac{1}{14} \times \frac{2}{5}

Solve using appropriate proper properties.

$\frac{2}{5} \times \frac{- 3}{7} - \frac{1}{14} - \frac{3}{7} \times \frac{3}{5}$

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

Using appropriate properties find:
$- \frac{2}{3} \times \frac{3}{5} + \frac{5}{2} - \frac{3}{5} \times \frac{1}{6}$

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