What is 57/24 Divided By 8/7

Solving $\frac{57}{24}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{24} \div \frac{8}{7} = \frac{57}{24} \times \frac{7}{8}$

• Multiply the Numerators: $57 \times 7 = 399$
• Multiply the Denominators: $24 \times 8 = 192$
• Form the New Fraction: $\frac{57}{24} \times \frac{8}{7} = \frac{399}{192}$

Let's Simplify $\frac{399}{192}$

• Find the Greatest Common Divisor (GCD) of $399$ and $192$. The GCD of $399$ and $192$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{399 \div 3}{192 \div 3} = \frac{133}{64}$

Answer $\frac{57}{24}\div\frac{8}{7} = \frac{133}{64}$

The following animation demonstrates the divide-by,