Question

Find the value of :
$\frac{4}{7}of2\frac{1}{3}kg$

Answer 1

Converting the mixed fraction as an improper fraction

$MixedFraction=\frac{Integralpart\times Denominator+Numerator}{Denominator}$

We will use the above formula to convert the mixed fraction into improper fraction.

$\therefore \frac{4}{7}of2\frac{1}{3}kg=\frac{4}{7}of\frac{2\times 3+1}{3}$

$=\frac{4}{7}of\frac{6+1}{3}=\frac{4}{7}of\frac{7}{3}$

Simplifying the above obtained expression


$\frac{4}{7}\times \frac{7}{3}=\frac{4\times 7}{7\times 3}=\frac{4}{3}$

Hence, the value of $\frac{4}{7}of2\frac{1}{3}kg\text{is}\frac{4}{3}\text{or}1\frac{1}{3}kg$