Find the quotient. Write fraction in simplest form.
$- 2 \frac{4}{5} \div (- 7)$

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Solution

Step 1: $- 2 \frac{4}{5} \div (- 7)$
$= - \frac{14}{5} \div (- 7)$
Step 2: $a \div b = a \times \frac{1}{b}$
$- \frac{14}{5} \div (- 7) = - \frac{14}{5} \times \frac{- 1}{7} = \frac{(- 14) \times (- 1)}{5 \times 7} = \frac{7 \times 2}{5 \times 7} = \frac{2}{5} = 0.4$
Step 3:
Final Answer: The quotient is $0.4$ and fraction in simplest form is $\frac{2}{5}$ .

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