What is 24/74 Divided By 1/6

Solving $\frac{24}{74}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{74} \div \frac{1}{6} = \frac{24}{74} \times \frac{6}{1}$

• Multiply the Numerators: $24 \times 6 = 144$
• Multiply the Denominators: $74 \times 1 = 74$
• Form the New Fraction: $\frac{24}{74} \times \frac{1}{6} = \frac{144}{74}$

Let's Simplify $\frac{144}{74}$

• Find the Greatest Common Divisor (GCD) of $144$ and $74$. The GCD of $144$ and $74$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 2}{74 \div 2} = \frac{72}{37}$

Answer $\frac{24}{74}\div\frac{1}{6} = \frac{72}{37}$

The following animation demonstrates the divide-by,