Question

Solve: $\frac{9}{11}-\frac{4}{15}$

Answer 1

Subtraction of rational number:

To solve the given equation at first we will convert them into like fractions by taking LCM.

LCM of $(11,15)=165$

Let us convert given fraction into an equivalent fraction having $165$as the denominator.

$$\begin{gathered} =\left[\right(\frac{9}{11})\times (\frac{15}{15}\left)\right]=\left(\frac{135}{165}\right) \\ =\left[\right(\frac{4}{15})\times (\frac{11}{11}\left)\right]=\left(\frac{11}{165}\right) \end{gathered}$$

So, $\frac{9}{11}-\frac{4}{15}$can be expressed as

$$\begin{gathered} =\left(\frac{135}{165}\right)–\left(\frac{44}{165}\right) \\ =\left[\frac{135-44}{165}\right] \\ =\left(\frac{91}{165}\right) \end{gathered}$$

Hence,the value of $\frac{9}{11}-\frac{4}{15}$ is $\frac{91}{165}$