What is 74/48 Divided By 9/4

Solving $\frac{74}{48}\div\frac{9}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{48} \div \frac{9}{4} = \frac{74}{48} \times \frac{4}{9}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $48 \times 9 = 432$
• Form the New Fraction: $\frac{74}{48} \times \frac{9}{4} = \frac{296}{432}$

Let's Simplify $\frac{296}{432}$

• Find the Greatest Common Divisor (GCD) of $296$ and $432$. The GCD of $296$ and $432$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{296 \div 8}{432 \div 8} = \frac{37}{54}$

Answer $\frac{74}{48}\div\frac{9}{4} = \frac{37}{54}$

The following animation demonstrates the divide-by,