Question

Question 51

State whether the given statement is True or False.

If $\frac{p}{q}$ is a rational number and m is a non-zero integer then $\frac{p}{q}=\frac{p\times m}{q\times m}$

Answer 1

True
When m = 1 then $\frac{p}{q}=\frac{p\times 1}{1\times q}=\frac{p}{q}$
When m = 2 , the $\frac{p}{q}=\frac{p\times 2}{q\times 2}=\frac{2p}{2q}=\frac{p}{q}$
Hence, $\frac{p}{q}=\frac{p\times m}{q\times m}$.