Question

Which of the given option is the simplest form of $\frac{13860}{18480}$ ?

• A. $\frac{1}{2}$
• B. $\frac{3}{4}$
• C. $\frac{1}{4}$
• D. $\frac{3}{2}$

Answer 1

The correct option is B

$\frac{3}{4}$

In order to reduce a fraction to its lowest terms, divide both numerator and denominator by their common factor.

$\frac{\frac{13860}{10}}{\frac{18480}{10}}=\frac{1386}{1848}$

$\frac{\frac{1386}{3}}{\frac{1848}{3}}=\frac{462}{616}$

$\frac{\frac{462}{11}}{\frac{616}{11}}=\frac{42}{56}$

$\frac{\frac{42}{7}}{\frac{56}{7}}=\frac{6}{8}=\frac{3}{4}$