What is 24/76 Divided By 1/6

Solving $\frac{24}{76}\div\frac{1}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{76} \div \frac{1}{6} = \frac{24}{76} \times \frac{6}{1}$

• Multiply the Numerators: $24 \times 6 = 144$
• Multiply the Denominators: $76 \times 1 = 76$
• Form the New Fraction: $\frac{24}{76} \times \frac{1}{6} = \frac{144}{76}$

Let's Simplify $\frac{144}{76}$

• Find the Greatest Common Divisor (GCD) of $144$ and $76$. The GCD of $144$ and $76$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 4}{76 \div 4} = \frac{36}{19}$

Answer $\frac{24}{76}\div\frac{1}{6} = \frac{36}{19}$

The following animation demonstrates the divide-by,