Question

Check the following rational numbers for distributive property of multiplication over addition

$\frac{1}{4},\frac{1}{3}$ and $\frac{3}{2}$

Answer 1

Let the first case $\frac{1}{4}\times (\frac{1}{3}+\frac{3}{2})$

$=\frac{1}{4}\times \frac{11}{6}$

$=\frac{11}{24}$

In the Second Case, we get

$\frac{1}{4}\times (\frac{1}{3}+\frac{3}{2})$

$=(\frac{1}{4}\times \frac{1}{3})+(\frac{1}{4}\times \frac{3}{2})$

$=\frac{1}{12}+\frac{3}{8}$

$=\frac{1\times 2}{12\times 2}+\frac{3\times 3}{8\times 3}$

$=\frac{2}{24}+\frac{9}{24}$

$=\frac{11}{24}$

Therefore, Distributive property is Verified.