Question

Find the value of $5\frac{1}{5}-\frac{2}{3}$.

Answer 1

To find the value of this equation first we need to convert the mixed fraction to improper fractions.

So, $5\frac{1}{5}-\frac{2}{3}=\frac{26}{5}-\frac{2}{3}$

Now, taking L.C.M of denominator which is $5$ and $3=5\times 3=15$.

$\begin{array}{rcl}\frac{26}{5}-\frac{2}{3}& =& \frac{26\times 3}{5\times 3}-\frac{2\times 5}{3\times 5}\\ & =& \frac{78}{15}-\frac{10}{15}\\ & =& \frac{68}{15}\\ & =& 4\frac{8}{15}\end{array}$

Hence, the answer is $4\frac{8}{15}$.