Question

Find the product of : $\frac{5}{9}$$\times$$3\frac{6}{7}$.

Answer 1

Step 1. Convert the mixed fraction into an improper fraction.

So, $3\frac{6}{7}$$=$$\frac{(7\times 3)+6}{7}$

$=$$\frac{27}{7}$

Step 2. Simply multiply the numerators and denominators separately.

$\frac{5}{9}x\frac{27}{7}$ $=$ $\frac{5\times 27}{9\times 7}$

$=$ $\frac{135}{63}$

After that, divide both numerator and denominator by $9$ separately, because $135$ and $63$ both are divisible by $9$.

$=\frac{135÷9}{63÷9}$

$=\frac{15}{7}$

Hence, the required answer is the $=\frac{15}{7}$