Question

Tap the correcr answer:
$3\frac{1}{5}\times 6\frac{2}{3}=$

• A. $\frac{75}{4}$
• B. $\frac{64}{3}$
• C. $\frac{55}{7}$

Answer 1

The correct option is B $\frac{64}{3}$

$3\frac{1}{5}\times 6\frac{2}{3}$

Let's convert mixed fraction into an improper fraction

$3\frac{1}{5}=\frac{3\times 5+1}{5}=\frac{16}{5}$
and $6\frac{2}{3}=\frac{6\times 3+2}{3}=\frac{20}{3}$

$\therefore 3\frac{1}{5}\times 6\frac{2}{3}=\frac{16}{5}\times \frac{20}{3}$

We have to multiply the top numbers and the bottom numbers as follows

$=\frac{16\times 20}{5\times 3}$

Now, simplify the fraction

$=\frac{16\times 5\times 4}{5\times 3}$

The common factors of the numerator and the denominator gets canceled, we get

$=\frac{64}{3}$