Question

Simplify $\frac{9}{28}+\frac{5}{7}-\frac{5}{63}$.

Answer 1

Find the LCM of $28,7and63$.

$LCM=2x2x3x3x7=252$

LCM of $28,7and63is252$.

Now,

$$\begin{gathered} \frac{9}{28}+\frac{5}{7}-\frac{5}{63}=\frac{9x9+5x36-5x4}{252} \\ =\frac{81+180-20}{252} \\ =\frac{261-20}{252} \\ =\frac{241}{252} \end{gathered}$$ $$\begin{gathered} Since252÷28=9;9x9 \\ 252÷7=36;5x36 \\ 252÷63=4;5x4 \end{gathered}$$