Question

Help Mathew find the value of: $\frac{4}{7}\mathrm{of}\frac{5}{3}\mathrm{of}\frac{2}{11}$

• A. $\frac{80}{231}$
• B. $\frac{40}{231}$
• C. $\frac{20}{231}$
• D. $\frac{60}{231}$

Answer 1

The correct option is B $\frac{40}{231}$

$\frac{4}{7}\mathrm{of}\frac{5}{3}\mathrm{of}\frac{2}{11}$
This can also be written as:
$\frac{4}{7}\times \frac{5}{3}\times \frac{2}{11}$
So, let's multiply two fractions first, and then we can multiply the result with the third fraction.
$\frac{4}{7}\times \frac{5}{3}\times \frac{2}{11}=\left(\frac{4}{7}\times \frac{5}{3}\right)\times \left(\frac{2}{11}\right)=\left(\frac{4\times 5}{7\times 3}\right)\times \left(\frac{2}{11}\right)=\left(\frac{20}{21}\right)\times \left(\frac{2}{11}\right)=\frac{20}{21}\times \frac{2}{11}=\frac{20\times 2}{21\times 11}=\frac{40}{231}$