Question

Find the HCF of 275 and 525 by long division method and reduce $\frac{275}{525}$ to the simplest form.

• A. $\frac{25}{51}$
• B. $\frac{13}{27}$
• C. $\frac{11}{21}$
• D. $\frac{9}{19}$

Answer 1

The correct option is C

$\frac{11}{21}$

First, we find the HCF of 275 and 525 by long division method and divide both the numerator and the denominator by the HCF to get the fraction in the simplest form.


The HCF obtained by long division method is 25.
$\therefore$ $\frac{275}{525}$ in simplest form is $\frac{275÷25}{525÷25}=\frac{11}{21}$.