Question

Fill in the blanks:

$\left(\frac{-3}{7}\right)÷\left(\frac{-7}{3}\right)=\_\_\_\_\_\_\_.$

Answer 1

$\left(\frac{-3}{7}\right)÷\left(\frac{-7}{3}\right)=\left(\frac{-3}{7}\right)\times \left(\frac{-3}{7}\right).$

Since, Product of rational numbers = Product of numerator x Product of denominator, therefore,

$\begin{array}{rcl}\left(\frac{-3}{7}\right)\times \left(\frac{-3}{7}\right)& =& \frac{-3\times -3}{7\times 7}\\ & =& \frac{9}{49}\end{array}$

Hence, the answer is $\frac{9}{49}$.