Question

divide. $\frac{-3}{5}div\frac{-6}{7}=$

Explanation:

Step1: Change division to multiplication

Dividing by a fraction is equivalent to multiplying by its reciprocal. So $\frac{-3}{5}\div\frac{-6}{7}=\frac{-3}{5}\times\frac{7}{-6}$.

Step2: Multiply numerators and denominators

Multiply the numerators $(-3)\times7=-21$ and the denominators $5\times(-6)= - 30$. So we get $\frac{-21}{-30}$.

Step3: Simplify the fraction

The greatest - common divisor of 21 and 30 is 3. Divide both the numerator and denominator by 3. $\frac{-21\div3}{-30\div3}=\frac{7}{10}$.

Answer:

$\frac{7}{10}$