Solve Complex Fraction: 56a÷(7b÷3a) Step-by-Step Solution

Division by a fraction is the same as multiplication by its reciprocal. When you divide by $\frac{7b}{3a}$, you multiply by $\frac{3a}{7b}$ instead!

Treat variables like numbers: $a × a = a^2$. In $56a × \frac{3a}{7b}$, you get $\frac{56a × 3a}{7b} = \frac{168a^2}{7b}$.

Factoring helps you cancel common factors! Since $56 = 7 × 8$, the 7s in numerator and denominator cancel out: $\frac{7×8×3a^2}{7b} = \frac{24a^2}{b}$.

The expression $\frac{24a^2}{b}$ can be written as $24\frac{a^2}{b}$ where 24 is the coefficient and $\frac{a^2}{b}$ is the variable part.

Yes! Multiply your answer by the original divisor: $24\frac{a^2}{b} × \frac{7b}{3a}$. If you get $56a$, your answer is correct!