What is 85/95 Divided By 6/7

Solving $\frac{85}{95}\div\frac{6}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{95} \div \frac{6}{7} = \frac{85}{95} \times \frac{7}{6}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $95 \times 6 = 570$
• Form the New Fraction: $\frac{85}{95} \times \frac{6}{7} = \frac{595}{570}$

Let's Simplify $\frac{595}{570}$

• Find the Greatest Common Divisor (GCD) of $595$ and $570$. The GCD of $595$ and $570$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{595 \div 5}{570 \div 5} = \frac{119}{114}$

Answer $\frac{85}{95}\div\frac{6}{7} = \frac{119}{114}$

The following animation demonstrates the divide-by,