(3)/(-4)÷(-2(1)/(3))=

Identify Numbers and Operation: Identify the numbers and the operation. We have (3)/(-4) divided by (-2(1)/(3)).Convert Mixed Number: Convert mixed number to improper fraction. -2(1)/(3) is the same as -2 * 3/3 + 1/3, which is -6/3 + 1/3, so it's -5/3.Set Up Division as Multiplication: Set up the division as multiplication by the reciprocal. (3)/(-4) ÷ (-5/3) is the same as (3)/(-4) * (-3/5).Multiply Numerators and Denominators: Multiply the numerators and denominators. (3 * -3) / (-4 * 5) equals -9 / -20.Simplify the Fraction: Simplify the fraction. -9 / -20 simplifies to 9/20 because the negatives cancel out.

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Math Problems

Grade 8

Powers with negative bases

Full solution

\frac{3}{-4} \div\left(-2 \frac{1}{3}\right)=

Identify Numbers and Operation: Identify the numbers and the operation. $\newline$ We have $(3)/(-4)$ divided by $(-2(1)/(3))$ .
Convert Mixed Number: Convert mixed number to improper fraction. $\newline$ $-2\left(\frac{1}{3}\right)$ is the same as $-2 \times \frac{3}{3} + \frac{1}{3}$ , which is $-\frac{6}{3} + \frac{1}{3}$ , so it's $-\frac{5}{3}$ .
Set Up Division as Multiplication: Set up the division as multiplication by the reciprocal. $(3)/(-4) \div (-5/3)$ is the same as $(3)/(-4) \times (-3/5)$ .
Multiply Numerators and Denominators: Multiply the numerators and denominators. $\newline$ $(3 \times -3) / (-4 \times 5)$ equals $-9 / -20$ .
Simplify the Fraction: Simplify the fraction. $-9 / -20$ simplifies to $9/20$ because the negatives cancel out.