What is 85/83 Divided By 5/6

Solving $\frac{85}{83}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{83} \div \frac{5}{6} = \frac{85}{83} \times \frac{6}{5}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $83 \times 5 = 415$
• Form the New Fraction: $\frac{85}{83} \times \frac{5}{6} = \frac{510}{415}$

Let's Simplify $\frac{510}{415}$

• Find the Greatest Common Divisor (GCD) of $510$ and $415$. The GCD of $510$ and $415$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 5}{415 \div 5} = \frac{102}{83}$

Answer $\frac{85}{83}\div\frac{5}{6} = \frac{102}{83}$

The following animation demonstrates the divide-by,