What is 74/52 Divided By 5/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $52 \times 5 = 260$
• Form the New Fraction: $\frac{74}{52} \times \frac{5}{4} = \frac{296}{260}$

Let's Simplify $\frac{296}{260}$

• Find the Greatest Common Divisor (GCD) of $296$ and $260$. The GCD of $296$ and $260$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{296 \div 4}{260 \div 4} = \frac{74}{65}$

Answer $\frac{74}{52}\div\frac{5}{4} = \frac{74}{65}$

The following animation demonstrates the divide-by,