What is 85/34 Divided By 6/7

Solving $\frac{85}{34}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{34} \div \frac{6}{7} = \frac{85}{34} \times \frac{7}{6}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $34 \times 6 = 204$
• Form the New Fraction: $\frac{85}{34} \times \frac{6}{7} = \frac{595}{204}$

Let's Simplify $\frac{595}{204}$

• Find the Greatest Common Divisor (GCD) of $595$ and $204$. The GCD of $595$ and $204$ is $17$.
• Divide both the numerator and the denominator by the GCD:$\frac{595 \div 17}{204 \div 17} = \frac{35}{12}$

Answer $\frac{85}{34}\div\frac{6}{7} = \frac{35}{12}$

The following animation demonstrates the divide-by,