Convert to Improper Fractions: Convert mixed numbers to improper fractions. -1(1)/(3) = -(3/3 + 1/3) = -4/3 2(2)/(5) = (10/5 + 2/5) = 12/5Divide Fractions: Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. -4/3 ÷ 12/5 = -4/3 * 5/12Multiply Numerators and Denominators: Multiply the numerators and the denominators. (-4 * 5) / (3 * 12) = -20 / 36Simplify Fraction: Simplify the fraction by dividing both numerator and denominator by the greatest common divisor, which is 4. -20 / 36 = (-20/4) / (36/4) = -5 / 9

Grade 7

Multiply and divide integers

Full solution

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

Convert to Improper Fractions: Convert mixed numbers to improper fractions. $\newline$ $-1\frac{1}{3} = -(\frac{3}{3} + \frac{1}{3}) = -\frac{4}{3}$ $\newline$ $2\frac{2}{5} = (\frac{10}{5} + \frac{2}{5}) = \frac{12}{5}$
Divide Fractions: Divide the fractions by multiplying the first fraction by the reciprocal of the second fraction. $\newline$ $-\frac{4}{3} \div \frac{12}{5} = -\frac{4}{3} \times \frac{5}{12}$
Multiply Numerators and Denominators: Multiply the numerators and the denominators. $\newline$ $(-4 \times 5) / (3 \times 12) = -20 / 36$
Simplify Fraction: Simplify the fraction by dividing both numerator and denominator by the greatest common divisor, which is $4$ . $-20 / 36 = (-20/4) / (36/4) = -5 / 9$