What is 85/34 Divided By 6/8

Solving $\frac{85}{34}\div\frac{6}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{34} \div \frac{6}{8} = \frac{85}{34} \times \frac{8}{6}$

• Multiply the Numerators: $85 \times 8 = 680$
• Multiply the Denominators: $34 \times 6 = 204$
• Form the New Fraction: $\frac{85}{34} \times \frac{6}{8} = \frac{680}{204}$

Let's Simplify $\frac{680}{204}$

• Find the Greatest Common Divisor (GCD) of $680$ and $204$. The GCD of $680$ and $204$ is $68$.
• Divide both the numerator and the denominator by the GCD:$\frac{680 \div 68}{204 \div 68} = \frac{10}{3}$

Answer $\frac{85}{34}\div\frac{6}{8} = \frac{10}{3}$

The following animation demonstrates the divide-by,