Question

Solve the following:

$4-2\frac{1}{3}$

Answer 1

Convert the given fractions into improper fractions then simplify by taking L.C.M

The improper fraction of $2\frac{1}{3}$ is

$$\begin{gathered} 2\frac{1}{3} \\ =\frac{2\times 3+1}{3} \\ =\frac{6+1}{3} \\ =\frac{7}{3} \end{gathered}$$

Now consider $4-\frac{7}{3}$

So,

$$\begin{gathered} 4-\frac{7}{3} \\ =\frac{4\times 3-7}{3} \\ =\frac{12-7}{3} \\ =\frac{5}{3} \end{gathered}$$

Hence, $4-2\frac{1}{3}$ is $\frac{5}{3}$