What is 74/52 Divided By 4/5

Solving $\frac{74}{52}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{52} \div \frac{4}{5} = \frac{74}{52} \times \frac{5}{4}$

• Multiply the Numerators: $74 \times 5 = 370$
• Multiply the Denominators: $52 \times 4 = 208$
• Form the New Fraction: $\frac{74}{52} \times \frac{4}{5} = \frac{370}{208}$

Let's Simplify $\frac{370}{208}$

• Find the Greatest Common Divisor (GCD) of $370$ and $208$. The GCD of $370$ and $208$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{370 \div 2}{208 \div 2} = \frac{185}{104}$

Answer $\frac{74}{52}\div\frac{4}{5} = \frac{185}{104}$

The following animation demonstrates the divide-by,