What is 85/95 Divided By 6/4

Solving $\frac{85}{95}\div\frac{6}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{95} \div \frac{6}{4} = \frac{85}{95} \times \frac{4}{6}$

• Multiply the Numerators: $85 \times 4 = 340$
• Multiply the Denominators: $95 \times 6 = 570$
• Form the New Fraction: $\frac{85}{95} \times \frac{6}{4} = \frac{340}{570}$

Let's Simplify $\frac{340}{570}$

• Find the Greatest Common Divisor (GCD) of $340$ and $570$. The GCD of $340$ and $570$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{340 \div 10}{570 \div 10} = \frac{34}{57}$

Answer $\frac{85}{95}\div\frac{6}{4} = \frac{34}{57}$

The following animation demonstrates the divide-by,