Question

Solve: $\frac{7}{10}÷\frac{5}{12}$.

Answer 1

Simplifying the equation

We have, $\frac{7}{10}÷\frac{5}{12}$

To divide a fraction we need to reciprocate the divisor and then multiply it by the dividend.

So, $\begin{array}{l}\frac{7}{10}\end{array}÷\begin{array}{l}\frac{5}{12}\end{array}=\frac{7}{10}\times \frac{12}{5}$

To solve the following equation we need to cancel the common factors and if no common factor multiply the numerator and denominator separately:

$\begin{array}{rcl}\frac{7}{{\sout{10}}_5}\times \frac{{\sout{12}}^6}{5}& =& \frac{7\times 6}{5\times 5}\\ & =& \frac{42}{25}\\ & =& 1\frac{17}{25}\end{array}$.

Hence, the final answer is $1\frac{17}{25}$.