# What is the lowest common denominator of 2/3 and 1/5?

Nov 14, 2016

$L C D = 3 \times 5 = 15$

#### Explanation:

$3 \mathmr{and} 5$ do not have any factors in common (apart from 1, which does not count), so the LCD will be the product of the two numbers.

$3 \times 5 = 15$

Both fractions can now be written with a denominator of 15.

$\frac{2}{3} \mathmr{and} \frac{1}{5}$

=$\frac{10}{15} \mathmr{and} \frac{3}{15}$