# Q.3 Express the following as improper fractions: (a) $$7\frac{3}{4}$$ (b) $$5\frac{6}{7}$$ (c) $$2\frac{5}{6}$$ (d) $$10\frac{3}{5}$$ (e) $$9\frac{3}{7}$$ (f) $$8\frac{4}{9}$$

(a) $$\frac{(7 × 4 + 3)}{4} = \frac{31}{4}$$

$$\therefore$$ The improper form is $$\frac{31}{4}$$
(b) $$\frac{(5 × 7 + 6)}{7} = \frac{41}{7}$$

$$\therefore$$ The improper form is $$\frac{41}{7}$$
(c) $$\frac{(2 × 6 + 5)}{6} = \frac{17}{6}$$

$$\therefore$$ The improper form is $$\frac{17}{6}$$
(d) $$\frac{(10 × 5 + 3)}{5} = \frac{53}{5}$$

$$\therefore$$ The improper form is $$\frac{53}{5}$$
(e) $$\frac{(9 × 7 + 3)}{7} = \frac{66}{7}$$

$$\therefore$$ The improper form is $$\frac{66}{7}$$
(f) $$\frac{(8 × 9 + 4)}{9} = \frac{76}{9}$$

$$\therefore$$ The improper form is $$\frac{76}{9}$$