What is 74/85 Divided By 1/5

Solving $\frac{74}{85}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{85} \div \frac{1}{5} = \frac{74}{85} \times \frac{5}{1}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $85 \times 1 = 85$
• Form the New Fraction: $\frac{74}{85} \times \frac{1}{5} = \frac{370}{85}$

Let's Simplify $\frac{370}{85}$

• Find the Greatest Common Divisor (GCD) of $370$ and $85$. The GCD of $370$ and $85$ is $5$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 5}{85 \div 5} = \frac{74}{17}$

Answer $\frac{74}{85}\div\frac{1}{5} = \frac{74}{17}$

The following animation demonstrates the divide-by,