Question

guided practice
now try this problem.
type the numerator in the left blank and the denominator in the right blank. then click or tap done.
simplify.
\frac{\frac{2a}{a + 1}}{\frac{a + 2}{9}}

Explanation:

Step1: Rewrite division as multiplication

$\frac{2a}{4a + 1} \div \frac{3a}{4a + 2} = \frac{2a}{4a + 1} \times \frac{4a + 2}{3a}$

Step2: Cancel common factor $a$

$\frac{2\cancel{a}}{4a + 1} \times \frac{4a + 2}{3\cancel{a}} = \frac{2(4a + 2)}{3(4a + 1)}$

Answer:

$\frac{2(4a + 2)}{3(4a + 1)}$