What is 74/24 Divided By 4/6

Solving $\frac{74}{24}\div\frac{4}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{24} \div \frac{4}{6} = \frac{74}{24} \times \frac{6}{4}$

• Multiply the Numerators: $74 \times 6 = 444$
• Multiply the Denominators: $24 \times 4 = 96$
• Form the New Fraction: $\frac{74}{24} \times \frac{4}{6} = \frac{444}{96}$

Let's Simplify $\frac{444}{96}$

• Find the Greatest Common Divisor (GCD) of $444$ and $96$. The GCD of $444$ and $96$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{444 \div 12}{96 \div 12} = \frac{37}{8}$

Answer $\frac{74}{24}\div\frac{4}{6} = \frac{37}{8}$

The following animation demonstrates the divide-by,