What is 74/24 Divided By 1/2

Solving $\frac{74}{24}\div\frac{1}{2}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{74}{24} \div \frac{1}{2} = \frac{74}{24} \times \frac{2}{1}$

• Multiply the Numerators: $74 \times 2 = 148$
• Multiply the Denominators: $24 \times 1 = 24$
• Form the New Fraction: $\frac{74}{24} \times \frac{1}{2} = \frac{148}{24}$

Let's Simplify $\frac{148}{24}$

• Find the Greatest Common Divisor (GCD) of $148$ and $24$. The GCD of $148$ and $24$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{148 \div 4}{24 \div 4} = \frac{37}{6}$

Answer $\frac{74}{24}\div\frac{1}{2} = \frac{37}{6}$

The following animation demonstrates the divide-by,