What is 74/85 Divided By 3/5

Solving $\frac{74}{85}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{3}{5} = \frac{74}{85} \times \frac{5}{3}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $85 \times 3 = 255$
• Form the New Fraction: $\frac{74}{85} \times \frac{3}{5} = \frac{370}{255}$

Let's Simplify $\frac{370}{255}$

• Find the Greatest Common Divisor (GCD) of $370$ and $255$. The GCD of $370$ and $255$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 5}{255 \div 5} = \frac{74}{51}$

Answer $\frac{74}{85}\div\frac{3}{5} = \frac{74}{51}$

The following animation demonstrates the divide-by,