Question

Multiply and simplify:
$\frac{9}{10}\times \frac{5}{3}\times \frac{6}{7}$

• A. $\frac{9}{7}$
• B. $\frac{7}{9}$
• C. $\frac{1}{5}$
• D. $\frac{3}{10}$

Answer 1

The correct option is A $\frac{9}{7}$

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

$\frac{9}{10}\times \frac{5}{3}\times \frac{6}{7}=\frac{9\times 5\times 6}{10\times 3\times 7}$

Now, simplify the fraction
$=\frac{3\times 3\times 5\times 2\times 3}{2\times 5\times 3\times 7}$

The common factors of the numerator and the denominator gets canceled, we get
$=\frac{3\times 3}{7}$
$=\frac{9}{7}$