What is 85/57 Divided By 5/6

Solving $\frac{85}{57}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{57} \div \frac{5}{6} = \frac{85}{57} \times \frac{6}{5}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $57 \times 5 = 285$
• Form the New Fraction: $\frac{85}{57} \times \frac{5}{6} = \frac{510}{285}$

Let's Simplify $\frac{510}{285}$

• Find the Greatest Common Divisor (GCD) of $510$ and $285$. The GCD of $510$ and $285$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 15}{285 \div 15} = \frac{34}{19}$

Answer $\frac{85}{57}\div\frac{5}{6} = \frac{34}{19}$

The following animation demonstrates the divide-by,