Question

Find the product:
$7\frac{1}{3}\times 4\frac{3}{4}$

• A. $35\frac{1}{6}$
• B. $34\frac{1}{6}$
• C. $34\frac{5}{6}$
• D. $35\frac{2}{3}$

Answer 1

The correct option is C

$34\frac{5}{6}$

$7\frac{1}{3}\times 4\frac{3}{4}$
First, we have to convert to improper fraction.
$\Rightarrow \frac{(7\times 3)+1}{3}\times \frac{(4\times 4)+3}{3}\Rightarrow \frac{22}{3}\times \frac{19}{3}$
Cancelling the common factor 2,
$\Rightarrow \frac{{}^{11}\text{/}22}{3}\times \frac{19}{\text{/}{4}_2}\Rightarrow \frac{209}{6}\Rightarrow 34\frac{5}{6}$