Question

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

• A. $\frac{100}{9}$
• B. $\frac{140}{27}$
• C. $\frac{49}{9}$
• D. $\frac{140}{81}$

Answer 1

The correct option is B $\frac{140}{27}$

$\frac{4}{3}\mathrm{of}\frac{5}{3}\mathrm{of}\frac{7}{3}$
This can also be written as:
$\frac{4}{3}\times \frac{5}{3}\times \frac{7}{3}$
So, let's multiply the first two fractions, and then we can multiply the result with the third fraction.
$\frac{4}{3}\times \frac{5}{3}\times \frac{7}{3}=\left(\frac{4}{3}\times \frac{5}{3}\right)\times \left(\frac{7}{3}\right)=\left(\frac{4\times 5}{3\times 3}\right)\times \left(\frac{7}{3}\right)=\left(\frac{20}{9}\right)\times \left(\frac{7}{3}\right)=\frac{20}{9}\times \frac{7}{3}=\frac{20\times 7}{9\times 3}=\frac{140}{27}$