What is 85/95 Divided By 8/6

Solving $\frac{85}{95}\div\frac{8}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{95} \div \frac{8}{6} = \frac{85}{95} \times \frac{6}{8}$

• Multiply the Numerators: $85 \times 6 = 510$
• Multiply the Denominators: $95 \times 8 = 760$
• Form the New Fraction: $\frac{85}{95} \times \frac{8}{6} = \frac{510}{760}$

Let's Simplify $\frac{510}{760}$

• Find the Greatest Common Divisor (GCD) of $510$ and $760$. The GCD of $510$ and $760$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{510 \div 10}{760 \div 10} = \frac{51}{76}$

Answer $\frac{85}{95}\div\frac{8}{6} = \frac{51}{76}$

The following animation demonstrates the divide-by,