Question

Evaluate each of the following:
(i) $\frac{2}{3}-\frac{3}{5}$

(ii) $\frac{-4}{7}-\frac{2}{(-3)}$

(iii) $\frac{4}{7}-\frac{(-5)}{(-7)}$

(iv) $\frac{-2}{1}-\frac{5}{9}$

Answer 1

We have

(i) $\frac{2}{3}-\frac{3}{5}=\frac{2\times 5-3\times 3}{15}=\frac{10-9}{15}=\frac{1}{15}$

(ii) $\frac{-4}{7}-\frac{2}{(-3)}=\frac{-4\times 3+2\times 7}{21}=\frac{-12+14}{21}=\frac{2}{21}$
(iii) $\frac{4}{7}-\frac{(-5)}{(-7)}=\frac{4-5}{7}=\frac{-1}{7}$

(iv) $\frac{-2}{1}-\frac{5}{9}=\frac{-2\times 9-5}{9}=\frac{-18-5}{9}=\frac{-23}{9}$