Question

find 7 1/3÷(-2 5/6). write your answer as a mixed number in simplest form

Explanation:

Step1: Convert mixed - numbers to improper fractions

$7\frac{1}{2}=\frac{7\times2 + 1}{2}=\frac{15}{2}$ y $- 2\frac{5}{6}=\frac{-2\times6 + 5}{6}=\frac{-12 + 5}{6}=-\frac{7}{6}$

Step2: Change division to multiplication

$\frac{15}{2}\div(-\frac{7}{6})=\frac{15}{2}\times(-\frac{6}{7})$

Step3: Multiply the fractions

$\frac{15}{2}\times(-\frac{6}{7})=\frac{15\times(- 6)}{2\times7}=\frac{-90}{14}$

Step4: Simplify the fraction

$\frac{-90}{14}=-\frac{45}{7}$

Step5: Convert to mixed - number

$-\frac{45}{7}=-6\frac{3}{7}$

Answer:

$-6\frac{3}{7}$