What is 74/24 Divided By 5/6

Solving $\frac{74}{24}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{24} \div \frac{5}{6} = \frac{74}{24} \times \frac{6}{5}$

• Multiply the Numerators: $74 \times 6 = 444$
• Multiply the Denominators: $24 \times 5 = 120$
• Form the New Fraction: $\frac{74}{24} \times \frac{5}{6} = \frac{444}{120}$

Let's Simplify $\frac{444}{120}$

• Find the Greatest Common Divisor (GCD) of $444$ and $120$. The GCD of $444$ and $120$ is $12$.
• Divide both the numerator and the denominator by the GCD:$\frac{444 \div 12}{120 \div 12} = \frac{37}{10}$

Answer $\frac{74}{24}\div\frac{5}{6} = \frac{37}{10}$

The following animation demonstrates the divide-by,