Question

Find the sum of the rational numbers $\frac{-4}{9},\frac{15}{12}$ and $\frac{-7}{18}$

Answer 1

$\frac{-4}{9}+\frac{15}{12}+\frac{-7}{18}$

$=(\frac{-4}{9}-\frac{7}{18})+\frac{15}{12}$

$=\frac{-8-7}{18}+\frac{15}{12}$

$=\frac{-5}{6}+\frac{5}{4}$

$=\frac{-20}{24}+\frac{30}{24}$

$=\frac{-20+30}{24}$

$=\frac{10}{24}$

$=\frac{5}{12}$