# Divide:

Question:

Divide:

(i) 1 by $\frac{1}{2}$

(ii) 5 by $\frac{-5}{7}$

(iii) $\frac{-3}{4}$ by $\frac{9}{-16}$

(iv) $\frac{-7}{8}$ by $\frac{-21}{16}$

(v) $\frac{7}{-4}$ by $\frac{63}{64}$

(vi) 0 by $\frac{-7}{5}$

(vii) $\frac{-3}{4}$ by $-6$

(viii) $\frac{2}{3}$ by $\frac{-7}{12}$

(ix) $-4$ by $\frac{-3}{5}$

(x) $\frac{-3}{13}$ by $\frac{-4}{65}$

Solution:

(i) $1 \div \frac{1}{2}=1 \times \frac{2}{1}=2$

(ii) $5 \div \frac{-5}{7}=5 \times \frac{7}{-5}=-7$

(iii) $\frac{-3}{4} \div \frac{9}{-16}=\frac{-3}{4} \times \frac{-16}{9}=\frac{4}{3}$

(iv) $\frac{-7}{8} \div \frac{-21}{16}=\frac{-7}{8} \times \frac{16}{-21}=\frac{2}{3}$

(v) $\frac{7}{-4} \div \frac{63}{64}=\frac{7}{-4} \times \frac{64}{63}=\frac{-16}{9}$

(vi) $0 \div \frac{-7}{5}=0 \times \frac{5}{-7}=0$

$($ vii $) \frac{-3}{4} \div-6=\frac{-3}{4} \times \frac{1}{-6}=\frac{1}{8}$

$($ viii $) \frac{2}{3} \div \frac{-7}{12}=\frac{2}{3} \times \frac{12}{-7}=\frac{-8}{7}$

$(\mathrm{ix})-4 \div \frac{-3}{5}=-4 \times \frac{5}{-3}=\frac{20}{3}$

$(\mathrm{x}) \frac{-3}{13} \div \frac{-4}{65}=\frac{-3}{13} \times \frac{65}{-4}=\frac{15}{4}$