What is 85/33 Divided By 5/6

Solving $\frac{85}{33}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{33} \div \frac{5}{6} = \frac{85}{33} \times \frac{6}{5}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $33 \times 5 = 165$
• Form the New Fraction: $\frac{85}{33} \times \frac{5}{6} = \frac{510}{165}$

Let's Simplify $\frac{510}{165}$

• Find the Greatest Common Divisor (GCD) of $510$ and $165$. The GCD of $510$ and $165$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 15}{165 \div 15} = \frac{34}{11}$

Answer $\frac{85}{33}\div\frac{5}{6} = \frac{34}{11}$

The following animation demonstrates the divide-by,