What is 74/24 Divided By 7/4

Solving $\frac{74}{24}\div\frac{7}{4}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{24} \div \frac{7}{4} = \frac{74}{24} \times \frac{4}{7}$

• Multiply the Numerators: $74 \times 4 = 296$
• Multiply the Denominators: $24 \times 7 = 168$
• Form the New Fraction: $\frac{74}{24} \times \frac{7}{4} = \frac{296}{168}$

Let's Simplify $\frac{296}{168}$

• Find the Greatest Common Divisor (GCD) of $296$ and $168$. The GCD of $296$ and $168$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{296 \div 8}{168 \div 8} = \frac{37}{21}$

Answer $\frac{74}{24}\div\frac{7}{4} = \frac{37}{21}$

The following animation demonstrates the divide-by,