Evaluate the expression. Write fraction in simplest form.
$\frac{3}{8} \div (- \frac{9}{5})$

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Solution

Step 1: $a \div b = a \times \frac{1}{b}$ .
$\frac{3}{8} \div (- \frac{9}{5}) = \frac{3}{8} \times (- \frac{5}{9})$ .
Step 2: $\frac{3}{8} \times (- \frac{5}{9}) = \frac{3 \times (- 5)}{8 \times 9} = \frac{3 \times (- 5)}{8 \times 3 \times 3} = \frac{- 5}{24}$
Final Answer: The value of expression in simplest form is $\frac{- 5}{24}$ .

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