What is 85/81 Divided By 5/6

Solving $\frac{85}{81}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{81} \div \frac{5}{6} = \frac{85}{81} \times \frac{6}{5}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $81 \times 5 = 405$
• Form the New Fraction: $\frac{85}{81} \times \frac{5}{6} = \frac{510}{405}$

Let's Simplify $\frac{510}{405}$

• Find the Greatest Common Divisor (GCD) of $510$ and $405$. The GCD of $510$ and $405$ is $15$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 15}{405 \div 15} = \frac{34}{27}$

Answer $\frac{85}{81}\div\frac{5}{6} = \frac{34}{27}$

The following animation demonstrates the divide-by,