Question

find the quotient.
$-2\frac{1}{2} \div \frac{3}{4}$
enter the correct answer in the box.

Explanation:

Step1: Convert mixed number to improper fraction

\(-2\frac{1}{2}=-\frac{2\times2 + 1}{2}=-\frac{5}{2}\)

Step2: Divide by multiplying by reciprocal

Dividing by \(\frac{3}{4}\) is same as multiplying by \(\frac{4}{3}\), so \(-\frac{5}{2}\times\frac{4}{3}\)

Step3: Simplify the product

\(-\frac{5\times4}{2\times3}=-\frac{20}{6}=-\frac{10}{3}=-3\frac{1}{3}\)

Answer:

\(-\frac{10}{3}\) (or \(-3\frac{1}{3}\))