What is 85/75 Divided By 2/5

Solving $\frac{85}{75}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{85}{75} \div \frac{2}{5} = \frac{85}{75} \times \frac{5}{2}$

• Multiply the Numerators: $85 \times 5 = 425$
• Multiply the Denominators: $75 \times 2 = 150$
• Form the New Fraction: $\frac{85}{75} \times \frac{2}{5} = \frac{425}{150}$

Let's Simplify $\frac{425}{150}$

• Find the Greatest Common Divisor (GCD) of $425$ and $150$. The GCD of $425$ and $150$ is $25$.
• Divide both the numerator and the denominator by the GCD:$\frac{425 \div 25}{150 \div 25} = \frac{17}{6}$

Answer $\frac{85}{75}\div\frac{2}{5} = \frac{17}{6}$

The following animation demonstrates the divide-by,