Question

Simplify:- ~~~~~~~

Answer 1

$\sf \dashrightarrow \: - \frac{2}{5} - ( - \frac{3}{10} ) - ( - \frac{4}{7} )$

When there is a - in front of an expression in parentheses, change the sign of each term in the expression to +

$\sf \dashrightarrow \: - \frac{2}{5} + \frac{3}{10} + \frac{4}{7}$

Calculate the LCM of denominators

$\sf\frac{ - 28 + 21 + 40}{70}$

Calculate the difference

$\bf \underline{ \underline \frac{33}{70} }$

Answer 2

$\\ \rm\rightarrowtail \dfrac{-2}{5}-\left(-\dfrac{3}{10}\right)-\left(-\dfrac{4}{7}\right)$

• (-)(-)=(+)

$\\ \rm\rightarrowtail \dfrac{-2}{5}+\dfrac{3}{10}+\dfrac{4}{7}$

$\\ \rm\rightarrowtail \dfrac{-28+21+40}{70}$

$\\ \rm\rightarrowtail \dfrac{-7+40}{70}$

$\\ \rm\rightarrowtail \dfrac{33}{70}$