Question

Question 5(c) :

How quickly can you do this? Fill appropriate sign (<, = , >):

$\frac{3}{5}\square \frac{2}{3}$

Answer 1

The given fractions $\frac{3}{5},\frac{2}{3}$ are unlike fractions because they have different denominators.

When we compare two unlike fractions, we first get their equivalent fractions with a denominator which is a common multiple of the denominators of both the fractions.

The LCM of 5 and 3 is 15.

The equivalent fractions with the same denominator are :

$\frac{3}{5}=\frac{3\times 3}{5\times 3}=\frac{9}{15}$ and $\frac{2}{3}=\frac{2\times 5}{3\times 5}=\frac{10}{15}$

Now, $\frac{9}{15}<\frac{10}{15}$

$\therefore$ $\frac{3}{5}<\frac{2}{3}$