Identify and Convert: Identify the operation and convert mixed number to improper fraction. 2(1)/(4) = (8/4) + (1/4) = 9/4Set up Division: Set up the division as multiplication by the reciprocal of 9/4. (-2)/(3) ÷ 2(1)/(4) = (-2)/(3) * (4/9)Multiply Numerators and Denominators: Multiply the numerators and the denominators. (-2) * 4 = -8 and 3 * 9 = 27 So, (-2)/(3) * (4/9) = (-8)/(27)Simplify Fraction: Simplify the fraction if possible. -8 and 27 don't have common factors, so the fraction is already in simplest form.

Grade 7

Multiply and divide integers

Full solution

\frac{-2}{3} \div 2 \frac{1}{4}=

Identify and Convert: Identify the operation and convert mixed number to improper fraction. $\newline$ $2\frac{1}{4} = \frac{8}{4} + \frac{1}{4} = \frac{9}{4}$
Set up Division: Set up the division as multiplication by the reciprocal of $\frac{9}{4}$ . $\newline$ $\frac{-2}{3} \div 2\frac{1}{4} = \frac{-2}{3} \times \frac{4}{9}$
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $(-2) \times 4 = -8$ and $3 \times 9 = 27$ $\newline$ So, $\frac{-2}{3} \times \frac{4}{9} = \frac{-8}{27}$
Simplify Fraction: Simplify the fraction if possible. $\newline$ $-8$ and $27$ don't have common factors, so the fraction is already in simplest form.