Question

Find answers to the following. Write and indicate how you solve?
Is $\frac{5}{9}$ equal to $\frac{4}{5}$?

Answer 1

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

Which are unlike fractions, lets convert into like fractions by taking the LCM of denominators.

LCM of $9$ and $5$ is $45$.

Now, $\frac{5}{9}=\frac{5}{9}\times \frac{5}{5}=\frac{25}{45}$

$\frac{4}{5}=\frac{4}{5}\times \frac{9}{9}=\frac{36}{45}$

In like fractions, the fraction which has less numerator is the smallest fraction.

$\Rightarrow \frac{25}{45}<\frac{36}{45}$

i.e., $\frac{5}{9}<\frac{4}{5}$

Therefore, $\frac{5}{9}\ne \frac{4}{5}$

Hence, the answer is 'No'.