What is 85/52 Divided By 7/8

Solving $\frac{85}{52}\div\frac{7}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{52} \div \frac{7}{8} = \frac{85}{52} \times \frac{8}{7}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $52 \times 7 = 364$
• Form the New Fraction: $\frac{85}{52} \times \frac{7}{8} = \frac{680}{364}$

Let's Simplify $\frac{680}{364}$

• Find the Greatest Common Divisor (GCD) of $680$ and $364$. The GCD of $680$ and $364$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 4}{364 \div 4} = \frac{170}{91}$

Answer $\frac{85}{52}\div\frac{7}{8} = \frac{170}{91}$

The following animation demonstrates the divide-by,