What is 85/66 Divided By 7/6

Solving $\frac{85}{66}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{66} \div \frac{7}{6} = \frac{85}{66} \times \frac{6}{7}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $66 \times 7 = 462$
• Form the New Fraction: $\frac{85}{66} \times \frac{7}{6} = \frac{510}{462}$

Let's Simplify $\frac{510}{462}$

• Find the Greatest Common Divisor (GCD) of $510$ and $462$. The GCD of $510$ and $462$ is $6$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 6}{462 \div 6} = \frac{85}{77}$

Answer $\frac{85}{66}\div\frac{7}{6} = \frac{85}{77}$

The following animation demonstrates the divide-by,