Question

a) 2/7:3/5 b) 3 1/3:1 1/9 c) 65/8:4 1/16 d) 1:3 1/7 ​

Answer 1

$a) \frac{2}{7} \div \frac{3}{5} = \frac{2}{7} \times \frac{5}{3} = \frac{10}{21}$

$b)3 \frac{1}{3} \div 1 \frac{1}{9} = \frac{3 \times 3 + 1}{3} \div \frac{9 \times 1 + 1}{9} =$

$= \frac{10}{3} \times \frac{9}{10} = \\ = 3$

$c) \frac{65}{8} \div 4 \frac{1}{16} =$

$= \frac{65}{8} \div \frac{4 \times 16 + 1}{16} =$

$= \frac{65}{8} \div \frac{65}{16} =$

$= \frac{65}{8} \times \frac{16}{65} = \\ = 2$

$d)1 \div 3 \frac{1}{7} =$

$= 1 \div \frac{3 \times 7 + 1}{7} =$

$= 1 \div \frac{22}{7} = \\ = \frac{7}{22}$