What is 57/76 Divided By 6/7

Solving $\frac{57}{76}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{57}{76} \div \frac{6}{7} = \frac{57}{76} \times \frac{7}{6}$

• Multiply the Numerators: $57 \times 7 = 399$
• Multiply the Denominators: $76 \times 6 = 456$
• Form the New Fraction: $\frac{57}{76} \times \frac{6}{7} = \frac{399}{456}$

Let's Simplify $\frac{399}{456}$

• Find the Greatest Common Divisor (GCD) of $399$ and $456$. The GCD of $399$ and $456$ is $57$.
• Divide both the numerator and the denominator by the GCD:$\frac{399 \div 57}{456 \div 57} = \frac{7}{8}$

Answer $\frac{57}{76}\div\frac{6}{7} = \frac{7}{8}$

The following animation demonstrates the divide-by,