What is 24/88 Divided By 5/6

Solving $\frac{24}{88}\div\frac{5}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{88} \div \frac{5}{6} = \frac{24}{88} \times \frac{6}{5}$

• Multiply the Numerators: $24 \times 6 = 144$
• Multiply the Denominators: $88 \times 5 = 440$
• Form the New Fraction: $\frac{24}{88} \times \frac{5}{6} = \frac{144}{440}$

Let's Simplify $\frac{144}{440}$

• Find the Greatest Common Divisor (GCD) of $144$ and $440$. The GCD of $144$ and $440$ is $8$.
• Divide both the numerator and the denominator by the GCD:$\frac{144 \div 8}{440 \div 8} = \frac{18}{55}$

Answer $\frac{24}{88}\div\frac{5}{6} = \frac{18}{55}$

The following animation demonstrates the divide-by,