Identify numbers and operations: Identify the numbers and operations. -2(3)/(4) ÷ (5)/(-9)Simplify multiplication in numerator: Simplify the multiplication in the numerator. -2 * 3 = -6Write division as multiplication: Write the division as multiplication by the reciprocal. (-6)/(4) * (-9)/(5)Multiply numerators and denominators: Multiply the numerators and denominators separately. (-6) * (-9) = 54 4 * 5 = 20Divide to get final answer: Divide the result to get the final answer. 54/20Simplify the fraction: Simplify the fraction. 54/20 = 2.7

Grade 8

Powers with negative bases

Full solution

-2 \frac{3}{4} \div \frac{5}{-9}=

Identify numbers and operations: Identify the numbers and operations. $\newline$ $-2(3)/(4) \div (5)/(-9)$
Simplify multiplication in numerator: Simplify the multiplication in the numerator. $-2 \times 3 = -6$
Write division as multiplication: Write the division as multiplication by the reciprocal. $\frac{-6}{4} \times \frac{-9}{5}$
Multiply numerators and denominators: Multiply the numerators and denominators separately. $\newline$ $(-6) \times (-9) = 54$ $\newline$ $4 \times 5 = 20$
Divide to get final answer: Divide the result to get the final answer. $\frac{54}{20}$
Simplify the fraction: Simplify the fraction. $\frac{54}{20} = 2.7$