Question

If we divide 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 $0$

Answer 1

The correct option is C it remains unchanged

Since the same number is multiplied and divided so the fraction effectively remains same.

$\therefore$ If we divide both the numerator and denominator of any rational number $\frac{p}{q}$ by the same number $m$, then it remains unchanged.

$\frac{\left(\frac{p}{m}\right)}{\left(\frac{q}{m}\right)}=\frac{p}{q}$