Question

State whether the statement is given in question is true or False:

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

• A. True
• B. False

Answer 1

The correct option is A True

Given statement "If $\frac{p}{q}$ is a rational number and $m$ is a non-zero integer, then$\left(\frac{p}{q}\right)=\frac{(p\times m)}{(q\times m)}$".

We know that the value of a fraction remains unchanged if the numerator and denominator are multiplied or divided by the same non zero number.

So, we can say that if $\frac{p}{q}$ is a rational number and $m$ is a non-zero integer, then $\left(\frac{p}{q}\right)=\frac{(p\times m)}{(q\times m)}$.

Hence, the given statement is “True”.