What is 72/85 Divided By 6/7

Solving $\frac{72}{85}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{72}{85} \div \frac{6}{7} = \frac{72}{85} \times \frac{7}{6}$

• Multiply the Numerators: $72 \times 7 = 504$
• Multiply the Denominators: $85 \times 6 = 510$
• Form the New Fraction: $\frac{72}{85} \times \frac{6}{7} = \frac{504}{510}$

Let's Simplify $\frac{504}{510}$

• Find the Greatest Common Divisor (GCD) of $504$ and $510$. The GCD of $504$ and $510$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{504 \div 6}{510 \div 6} = \frac{84}{85}$

Answer $\frac{72}{85}\div\frac{6}{7} = \frac{84}{85}$

The following animation demonstrates the divide-by,