Question

Which fraction is greater ?

(ii) $\frac{5}{9}\text{or}\frac{3}{4}$

Answer 1

Step : Comparing the given fractions

Given fractions are $\frac{5}{9}\text{and}\frac{3}{4}$

First converting the fractions into like fractions.

$\therefore \frac{5}{9}=\frac{5\times 4}{9\times 4}=\frac{20}{36}$

$\text{and}\frac{3}{4}=\frac{3\times 9}{4\times 9}=\frac{27}{36}$

We know that, if two fractions have the same denominator, then the greater fraction has the greater numerator.

$\therefore \frac{27}{36}>\frac{20}{36}$

Hence, $\frac{3}{4}$ will be the greater fraction.