Question

examine the division problem
$-\frac{9}{2} div \frac{3}{4}$
the reciprocal of the divisor is $\frac{4}{3}$
rewrite the division problem as multiplication
what is the quotient?

Explanation:

Step1: Rewrite division as multiplication

To divide by a fraction, we multiply by its reciprocal. The division problem is $-\frac{9}{2} \div \frac{3}{4}$, and the reciprocal of $\frac{3}{4}$ is $\frac{4}{3}$. So we rewrite it as $-\frac{9}{2} \times \frac{4}{3}$.

Step2: Calculate the product

First, multiply the numerators: $-9 \times 4 = -36$. Then multiply the denominators: $2 \times 3 = 6$. Now, simplify the fraction $\frac{-36}{6} = -6$.

Answer:

Rewrite the division problem as multiplication: $-\frac{9}{2} \times \frac{4}{3}$
What is the quotient? $-6$