Question

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

Answer 1

Convert the given fractions into like fractions.

Multiply first fraction by $\frac{5}{5}$.

$$\begin{gathered} \Rightarrow \frac{5}{9}=\frac{5}{9}\times \frac{5}{5} \\ =\frac{25}{45} \end{gathered}$$

Multiply second fraction by $\frac{9}{9}$.

$$\begin{gathered} \Rightarrow \frac{4}{5}=\frac{4}{5}\times \frac{9}{9} \\ =\frac{36}{45} \end{gathered}$$

Here, $\frac{25}{45}\ne \frac{36}{45}$.

Hence, $\frac{5}{9}$is not equal to $\frac{4}{5}$.