Write as fraction: Step 1: Write the problem as a fraction. -3(1)/(2) ÷ (-5)/(8) Change to multiplication: Step 2: Change the division to multiplication by flipping the second fraction (reciprocal). -3(1)/(2) × (-8)/(5) Simplify before multiplying: Step 3: Simplify the expression before multiplying. -3/2 × -8/5 Multiply numerators and denominators: Step 4: Multiply the numerators and then the denominators. (-3 × -8) / (2 × 5) Calculate multiplication: Step 5: Calculate the multiplication. 24/10

Grade 8

Powers with negative bases

Full solution

-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. $\newline$ $\frac{24}{10}$