Question

If the simplest form of the fraction $\frac{5}{15}$ is $\frac{1}{x},$ then $x=$

Answer 1

Given,
$\frac{5}{15}=\frac{1}{x}$

Let's simplify the given fraction
$\frac{5}{15}:$
Now, rewrite the numerator and the denominator into its factors
Prime factorisation of $5:1\times \underset{–}{5}$
Prime factorisation of $15:3\times \underset{–}{5}$

$\therefore \frac{5}{15}=\frac{1\times 5}{3\times 5}$
Cancel out the common factors, we get
$\frac{5}{15}=\frac{1}{3}\therefore \frac{1}{3}=\frac{1}{x}$
$\Rightarrow x=3$