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QUESTION IMAGE

$1\frac{2}{3}div-\frac{7}{12}$

Question

$1\frac{2}{3}div-\frac{7}{12}$

Explanation:

Step1: Convert mixed - number to improper fraction

$1\frac{2}{3}=\frac{1\times3 + 2}{3}=\frac{5}{3}$

Step2: Apply division rule for fractions

$\frac{5}{3}\div(-\frac{7}{12})=\frac{5}{3}\times(-\frac{12}{7})$

Step3: Multiply the fractions

$\frac{5\times(- 12)}{3\times7}=\frac{-60}{21}=-\frac{20}{7}=-2\frac{6}{7}$

Answer:

$-\frac{20}{7}$