# How do you simplify the fraction 15/36?

Feb 27, 2017

Showing a little trick
$\frac{5}{12}$

#### Explanation:

$\textcolor{b l u e}{\text{The trick}}$

Consider the numbers given:

Adding the digits of the 15 of $\frac{15}{36}$

$1 + 5 = 6$ and 6 is exactly divisible by 3 thus so is 15

Adding the digits of the 36 of $\frac{15}{36}$

$3 + 6 = 9$ and 9 is exactly divisible by 3 thus so is 36
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$\textcolor{b l u e}{\text{Answering the question}}$

$\frac{15}{36} \equiv \frac{15 \div 3}{36 \div 3} = \frac{5}{12}$

The $\equiv$ means 'equivalent to'

5 is a prime number so we can not simplify any further.