Question

Divide the sum of the fraction 3//2 and 5/7 by their difference​

Answer 1

Answer:31/11

Step-by-step explanation:The following one is it answer

Answer 2

$sum \: of \: the \: \frac{3}{2} \: and \: \frac{5}{7} = \frac{3}{2} + \frac{5}{7}$

$least \: common \: multiple \: of \: 2 \: and \: 7 \: is \: 14 \\ \\ = \frac{3 \times 7}{ 2\times 7} + \frac{5 \times 2}{7 \times 2} \\ \\ = \frac{21}{14} + \frac{10}{14} \\ \\ = \frac{31}{14}$

$difference \: of \: \frac{3}{2} \: and \: \frac{5}{7} = \frac{3}{2} - \frac{5}{7}$

$least \: common \: multiple \: of \: 2 \: and \: 7 \: is \: 14 \\ \\ = \frac{3 \times 7}{2 \times 7} - \frac{5 \times 2}{7 \times 2} \\ \\ = \frac{21}{14} - \frac{10}{14} \\ \\ = \frac{11}{14}$

$divide \: sum \: by \: difference \\ \\ = \frac{31}{14} \div \frac{11}{14} \\ \\ = \frac{31}{14} \times \frac{14}{11} \\ \\ = 31 \times \frac{1}{11} \\ \\ = \frac{31}{11}$