Question

If we multiply both numerator and denominator of any rational number $\frac{p}{q}$ by a same number $m$, then:

• A. only the denominator changes
• B. only the numerator changes
• C. it remains unchanged
• D. it is equal to $1$

Answer 1

The correct option is C it remains unchanged

If the same non zero number is multiplied to both numerator and denominator, of a rational number, the resulting number is effectively the same.

If we multiply both the numerator and denominator of any rational number $\frac{p}{q}$ by the same number $m$, then it remains unchanged; because we get $\frac{pm}{qm}$ which is same as $\frac{p}{q}$