What is 24/48 Divided By 5/6

Solving $\frac{24}{48}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{48} \div \frac{5}{6} = \frac{24}{48} \times \frac{6}{5}$

• Multiply the Numerators: $24 \times 6 = 144$
• Multiply the Denominators: $48 \times 5 = 240$
• Form the New Fraction: $\frac{24}{48} \times \frac{5}{6} = \frac{144}{240}$

Let's Simplify $\frac{144}{240}$

• Find the Greatest Common Divisor (GCD) of $144$ and $240$. The GCD of $144$ and $240$ is $48$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 48}{240 \div 48} = \frac{3}{5}$

Answer $\frac{24}{48}\div\frac{5}{6} = \frac{3}{5}$

The following animation demonstrates the divide-by,