Question

Multiply and simplify:
$\frac{6}{18}\times \frac{54}{18}=$

Answer 1

Step-1: Factorize the numerator & denominator. Identify the common factors on the top and bottom. Cancel the common factors to get the lowest form of a fraction.

$\frac{6}{18}\times \frac{54}{18}=\frac{2\times 3}{2\times 3\times 3}\times \frac{2\times 3\times 3\times 3}{2\times 3\times 3}$

$=\frac{1}{3}\times 3$

$=\frac{1}{3}\times \frac{3}{1}$

Step-2: Multiply the numerators and denominators.
$=\frac{1\times 3}{3\times 1}$

$=\frac{3}{3}$

$=1$