Question

$\frac{4}{108}\times \frac{27}{3}=$

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

Answer 1

The correct option is B $\frac{1}{3}$

Step-1: Multiply the numerators and denominators of the fraction.

$\Rightarrow \frac{4}{108}\times \frac{27}{3}=\frac{4\times 27}{108\times 3}$

Step-2: Factorize the numerator & denominator of the resulting fraction

$\Rightarrow \frac{4\times 27}{108\times 3}=\frac{2\times 2\times 3\times 3\times 3}{2\times 2\times 3\times 3\times 3\times 3}$

Step-3: Identify the common factors on top and bottom and cancel out with each other.
$\Rightarrow \frac{4}{108}\times \frac{27}{3}=\frac{1}{3}$