Question

Perform the indicated operation. 15b/4 * 8/9a^2b^2

Answer 1

Answer:

The simplified expression is $\frac{10}{3 a^2 b}$

Step-by-step explanation:

The given expression is:

$\frac{15b}{4} * \frac{8}{9a^2 b^2}$

Multiply the items in the numerator together ( 15b * 8 = 120 b). Also multiply the items in the denominator together ( 4 * 9a²b² = 36a²b²). The expression thus becomes:

$= \frac{120b}{36 a^2 b^2}$

Divide both the numerator and the denominator by 12b:

$= \frac{120b /12b}{36 a^2 b^2/12b}$

The expression finally becomes:

$= \frac{10}{3 a^2 b}$