What is 74/24 Divided By 7/6

Solving $\frac{74}{24}\div\frac{7}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{24} \div \frac{7}{6} = \frac{74}{24} \times \frac{6}{7}$

• Multiply the Numerators: $74 \times 6 = 444$
• Multiply the Denominators: $24 \times 7 = 168$
• Form the New Fraction: $\frac{74}{24} \times \frac{7}{6} = \frac{444}{168}$

Let's Simplify $\frac{444}{168}$

• Find the Greatest Common Divisor (GCD) of $444$ and $168$. The GCD of $444$ and $168$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{444 \div 12}{168 \div 12} = \frac{37}{14}$

Answer $\frac{74}{24}\div\frac{7}{6} = \frac{37}{14}$

The following animation demonstrates the divide-by,