What is 74/17 Divided By 4/5

Solving $\frac{74}{17}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{17} \div \frac{4}{5} = \frac{74}{17} \times \frac{5}{4}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $17 \times 4 = 68$
• Form the New Fraction: $\frac{74}{17} \times \frac{4}{5} = \frac{370}{68}$

Let's Simplify $\frac{370}{68}$

• Find the Greatest Common Divisor (GCD) of $370$ and $68$. The GCD of $370$ and $68$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 2}{68 \div 2} = \frac{185}{34}$

Answer $\frac{74}{17}\div\frac{4}{5} = \frac{185}{34}$

The following animation demonstrates the divide-by,