Convert to multiplication: Convert the division of fractions to multiplication by the reciprocal. -2(1)/(5) ÷ (-3)/(7) = -2(1)/(5) * (7)/(-3)Simplify expression: Simplify the expression. = (-2/5) * (7/-3)Multiply numerators and denominators: Multiply the numerators and the denominators. = (-2 * 7) / (5 * -3)Calculate multiplication: Calculate the multiplication. = (-14) / (-15)Simplify negative signs: Simplify the negative signs. = 14/15

Grade 8

Powers with negative bases

Full solution

-2 \frac{1}{5} \div \frac{-3}{7}=

Convert to multiplication: Convert the division of fractions to multiplication by the reciprocal. $\newline$ $-2\frac{1}{5} \div \frac{-3}{7} = -2\frac{1}{5} \times \frac{7}{-3}$
Simplify expression: Simplify the expression. $\newline$ $= \left(-\frac{2}{5}\right) \times \left(\frac{7}{-3}\right)$
Multiply numerators and denominators: Multiply the numerators and the denominators. $\newline$ $= (-2 \times 7) / (5 \times -3)$
Calculate multiplication: Calculate the multiplication. $\newline$ $= \frac{-14}{-15}$
Simplify negative signs: Simplify the negative signs. $\newline$ $= \frac{14}{15}$