Question

Simplify:
$1\frac{1}{3}\times 1\frac{2}{7}\text{of}1\frac{1}{4}$

Answer 1

Step 1: Converting mixed fractions into improper fractions

$\Rightarrow 1\frac{1}{3}=\frac{3\times 1+1}{3}=\frac{4}{3}$
$\Rightarrow 1\frac{2}{7}=\frac{7\times 1+2}{7}=\frac{9}{7}$
$\Rightarrow 1\frac{1}{4}=\frac{1\times 4+1}{4}=\frac{5}{3}$

Step 2: Following BODMAS rule solving 'of ' part first

$\therefore 1\frac{1}{3}\times 1\frac{2}{7}\text{of}1\frac{1}{4}$

$=\frac{4}{3}\times \frac{9}{7}\times \frac{5}{4}$

$=\frac{4}{3}\times \frac{9\times 5}{7\times 4}$

$=\frac{4}{3}\times \frac{45}{28}$

Step 3: Multiplying numerator together and denominator together

$\therefore \frac{4\times 45}{3\times 28}$

$=\frac{4\times 3\times 3\times 5}{3\times 4\times 7}$

$=\frac{15}{7}$

$=2\frac{1}{7}$
[Converting into mixed fraction since it was an improper fraction]

Hence, $2\frac{1}{7}$ is the required answer.