What is 85/11 Divided By 2/8

Solving $\frac{85}{11}\div\frac{2}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{11} \div \frac{2}{8} = \frac{85}{11} \times \frac{8}{2}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $11 \times 2 = 22$
• Form the New Fraction: $\frac{85}{11} \times \frac{2}{8} = \frac{680}{22}$

Let's Simplify $\frac{680}{22}$

• Find the Greatest Common Divisor (GCD) of $680$ and $22$. The GCD of $680$ and $22$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 2}{22 \div 2} = \frac{340}{11}$

Answer $\frac{85}{11}\div\frac{2}{8} = \frac{340}{11}$

The following animation demonstrates the divide-by,