Question

solve and write your answer in simplest form. -3 ⅕÷(1 ¼)

Explanation:

Step1: Convert mixed - numbers to improper fractions

$-3\frac{1}{2}=-\frac{3\times2 + 1}{2}=-\frac{7}{2}$ and $1\frac{1}{4}=\frac{1\times4+1}{4}=\frac{5}{4}$

Step2: Perform the division

$-\frac{7}{2}\div\frac{5}{4}=-\frac{7}{2}\times\frac{4}{5}$

Step3: Multiply the fractions

$-\frac{7\times4}{2\times5}=-\frac{28}{10}$

Step4: Simplify the fraction

$-\frac{28\div2}{10\div2}=-\frac{14}{5}=- 2\frac{4}{5}$

Answer:

$-2\frac{4}{5}$