What is 85/95 Divided By 2/5

Solving $\frac{85}{95}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{95} \div \frac{2}{5} = \frac{85}{95} \times \frac{5}{2}$

• Multiply the Numerators: $85 \times 5 = 425$
• Multiply the Denominators: $95 \times 2 = 190$
• Form the New Fraction: $\frac{85}{95} \times \frac{2}{5} = \frac{425}{190}$

Let's Simplify $\frac{425}{190}$

• Find the Greatest Common Divisor (GCD) of $425$ and $190$. The GCD of $425$ and $190$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{425 \div 5}{190 \div 5} = \frac{85}{38}$

Answer $\frac{85}{95}\div\frac{2}{5} = \frac{85}{38}$

The following animation demonstrates the divide-by,