Question

If $5+\frac{1}{3}=\frac{x}{3},$ then find x?

Answer 1

1 and 3 are the denominators of both the fractions respectively.

Let's convert the unlike fractions into like fractions
Multiples of 1: 1, 2, 3, 4, ..
Multiples of 3: 3, 6, 9, 12, ..
LCM(1, 3) = 3

Now we have to convert the denominators in both the fractions into 3 (LCM of 1 and 3)
$5=\frac{5}{1}=\frac{5\times 3}{1\times 3}=\frac{15}{3}$
and $\frac{1}{3}$ is already in its third form.

$\therefore 5+\frac{1}{3}=\frac{15}{3}+\frac{1}{3}$
$=\frac{15+1}{3}$
$=\frac{16}{3}=\frac{x}{3}$
$\Rightarrow x=16$