What is 57/75 Divided By 8/7

Solving $\frac{57}{75}\div\frac{8}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{75} \div \frac{8}{7} = \frac{57}{75} \times \frac{7}{8}$

• Multiply the Numerators: $57 \times 7 = 399$
• Multiply the Denominators: $75 \times 8 = 600$
• Form the New Fraction: $\frac{57}{75} \times \frac{8}{7} = \frac{399}{600}$

Let's Simplify $\frac{399}{600}$

• Find the Greatest Common Divisor (GCD) of $399$ and $600$. The GCD of $399$ and $600$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{399 \div 3}{600 \div 3} = \frac{133}{200}$

Answer $\frac{57}{75}\div\frac{8}{7} = \frac{133}{200}$

The following animation demonstrates the divide-by,