What is 57/24 Divided By 5/7

Solving $\frac{57}{24}\div\frac{5}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{24} \div \frac{5}{7} = \frac{57}{24} \times \frac{7}{5}$

• Multiply the Numerators: $57 \times 7 = 399$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{57}{24} \times \frac{5}{7} = \frac{399}{120}$

Let's Simplify $\frac{399}{120}$

• Find the Greatest Common Divisor (GCD) of $399$ and $120$. The GCD of $399$ and $120$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{399 \div 3}{120 \div 3} = \frac{133}{40}$

Answer $\frac{57}{24}\div\frac{5}{7} = \frac{133}{40}$

The following animation demonstrates the divide-by,