What is 85/95 Divided By 4/7

Solving $\frac{85}{95}\div\frac{4}{7}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{95} \div \frac{4}{7} = \frac{85}{95} \times \frac{7}{4}$

• Multiply the Numerators: $85 \times 7 = 595$
• Multiply the Denominators: $95 \times 4 = 380$
• Form the New Fraction: $\frac{85}{95} \times \frac{4}{7} = \frac{595}{380}$

Let's Simplify $\frac{595}{380}$

• Find the Greatest Common Divisor (GCD) of $595$ and $380$. The GCD of $595$ and $380$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{595 \div 5}{380 \div 5} = \frac{119}{76}$

Answer $\frac{85}{95}\div\frac{4}{7} = \frac{119}{76}$

The following animation demonstrates the divide-by,