What is 85/11 Divided By 6/8

Solving $\frac{85}{11}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{11} \div \frac{6}{8} = \frac{85}{11} \times \frac{8}{6}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $11 \times 6 = 66$
• Form the New Fraction: $\frac{85}{11} \times \frac{6}{8} = \frac{680}{66}$

Let's Simplify $\frac{680}{66}$

• Find the Greatest Common Divisor (GCD) of $680$ and $66$. The GCD of $680$ and $66$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 2}{66 \div 2} = \frac{340}{33}$

Answer $\frac{85}{11}\div\frac{6}{8} = \frac{340}{33}$

The following animation demonstrates the divide-by,