Question

Simplify and reduce to a simple fraction:

(v) $\frac{2}{5}of\frac{6}{11}\times 1\frac{1}{4}$

Answer 1

Step 1: Converting the mixed fraction into improper fraction

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

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

$\frac{2}{5}of\frac{6}{11}\times 1\frac{1}{4}=\frac{2}{5}of\frac{6}{11}\times \frac{1\times 4+1}{4}$


$=\frac{2}{5}of\frac{6}{11}\times \frac{5}{4}$

Step 2 : Simplifying the obtained expression

$\frac{2}{5}of\frac{6}{11}\times \frac{5}{4}=\frac{2}{5}\times \frac{6}{11}\times \frac{5}{4}=\frac{12\times 5}{55\times 4}$

$=\frac{3}{11}$

Hence the given expression simplifies to $\frac{3}{11}$