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} $


To do:

We have to divide the given rational numbers.

Solution:

We know that,

$a \div b = a \times \frac{1}{b}$

Therefore,

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

$=\frac{-3\times(-16)}{4\times9}$

$=\frac{4}{3}$ 

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

$=\frac{-7\times16}{8\times(-21)}$

$=\frac{2}{3}$  

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

$=\frac{7\times64}{-4\times63}$

$=\frac{-16}{9}$   

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

$=\frac{0\times5}{-7}$

$=0$    

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

$=\frac{-3\times1}{4\times(-6)}$

$=\frac{1}{8}$   

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

$=\frac{2\times12}{3\times(-7)}$

$=\frac{-8}{7}$    

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

$=\frac{-4\times5}{-3}$

$=\frac{20}{3}$    

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

$=\frac{-3\times65}{13\times(-4)}$

$=\frac{15}{4}$    

Tutorialspoint
Tutorialspoint

Simply Easy Learning

Updated on: 10-Oct-2022

15 Views

Kickstart Your Career

Get certified by completing the course

Get Started
Advertisements