Question

Find :

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

Answer 1

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

First we apply commutative properties , And get

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

Now apply distributive properties and take common $\frac{-3}{7}$ , As:

$\frac{-3}{7}(\frac{2}{5}+\frac{3}{5})-\frac{1}{14}$

Now solve using BODMAS properties As:

$\frac{-3}{7}\left(\frac{5}{5}\right)-\frac{1}{14}$

$\frac{-3}{7}-\frac{1}{14}$

Take L.C.M. of the denominator terms $7$ and $14$ that is $14$.So,

$-\frac{6}{14}-\frac{1}{14}$

$-\frac{7}{14}=-\frac{1}{2}$