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-3(1)/(2)÷(-5)/(8)=

$-3 \frac{1}{2} \div \frac{-5}{8}=$

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Powers with negative bases

Full solution

Q.

-3 \frac{1}{2} \div \frac{-5}{8}=

Write as fraction: Step $1$ : Write the problem as a fraction. $-3\left(\frac{1}{2}\right) \div \left(-\frac{5}{8}\right)$
Change to multiplication: Step $2$ : Change the division to multiplication by flipping the second fraction (reciprocal). $\newline$ $-3\frac{1}{2} \times \frac{-8}{5}$
Simplify before multiplying: Step $3$ : Simplify the expression before multiplying. $-\frac{3}{2} \times -\frac{8}{5}$
Multiply numerators and denominators: Step $4$ : Multiply the numerators and then the denominators. $\newline$ $(-3 \times -8) / (2 \times 5)$
Calculate multiplication: Step $5$ : Calculate the multiplication. $\newline$ $\frac{24}{10}$

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