What is 74/85 Divided By 2/5

Solving $\frac{74}{85}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{2}{5} = \frac{74}{85} \times \frac{5}{2}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $85 \times 2 = 170$
• Form the New Fraction: $\frac{74}{85} \times \frac{2}{5} = \frac{370}{170}$

Let's Simplify $\frac{370}{170}$

• Find the Greatest Common Divisor (GCD) of $370$ and $170$. The GCD of $370$ and $170$ is $10$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 10}{170 \div 10} = \frac{37}{17}$

Answer $\frac{74}{85}\div\frac{2}{5} = \frac{37}{17}$

The following animation demonstrates the divide-by,