Question

$\frac{1}{5}\times \left[\left(\frac{2}{7}\right)+\left(\frac{3}{8}\right)\right]=\left[\left(\frac{1}{5}\right)\times \left(\frac{2}{7}\right)\right]+\_\_\_\_\_$$,$Find the missing term$.$

Answer 1

The given numerical expression is $\frac{1}{5}\times \left[\left(\frac{2}{7}\right)+\left(\frac{3}{8}\right)\right]=\left[\left(\frac{1}{5}\right)\times \left(\frac{2}{7}\right)\right]+\_\_\_\_\_$

The distributive Property States that when a factor is multiplied by the sum$/$addition of two terms$,$

it is essential to multiply each of the two numbers by the factor$,$ and finally perform the addition operation$.$

This property can be stated symbolically as$:$

$A(B+C)=AB+AC$

$\frac{1}{5}\times \left[\left(\frac{2}{7}\right)+\left(\frac{3}{8}\right)\right]=\left[\left(\frac{1}{5}\right)\times \left(\frac{2}{7}\right)\right]+\left[\left(\frac{1}{5}\right)\times \left(\frac{3}{8}\right)\right]$

Hence$,$ the missing term is $\frac{1}{5}\times \frac{3}{8}$