Question

Out of $2\frac{2}{5}$ of the pizza available, $1\frac{4}{7}$th of it was eaten by Nexus. What is the fraction of the pizza eaten by Nexus?

• A. $\frac{121}{35}$
• B. $\frac{132}{35}$
• C. $\frac{141}{35}$
• D. $\frac{111}{35}$

Answer 1

The correct option is B $\frac{132}{35}$

Available pizza = $2\frac{2}{5}$
Nexus ate $1\frac{4}{7}$ of it.
The fraction of the pizza eaten by Nexus can be calculated by multiplying both the fractions.
$2\frac{2}{5}\times 1\frac{4}{7}$
First let's convert these mixed fractions into improper fractions.
$2\frac{2}{5}=\left(\frac{(2\times 5)+2}{5}\right)=\frac{10+2}{5}=\frac{12}{5}1\frac{4}{7}=\frac{(1\times 7)+4}{7}=\frac{7+4}{7}=\frac{11}{7}\mathrm{So},2\frac{2}{5}\times 1\frac{4}{7}=\frac{12}{5}\times \frac{11}{7}=\frac{12\times 11}{5\times 7}=\frac{132}{35}$