What is 24/11 Divided By 4/5

Solving $\frac{24}{11}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{24}{11} \div \frac{4}{5} = \frac{24}{11} \times \frac{5}{4}$

• Multiply the Numerators: $24 \times 5 = 120$
• Multiply the Denominators: $11 \times 4 = 44$
• Form the New Fraction: $\frac{24}{11} \times \frac{4}{5} = \frac{120}{44}$

Let's Simplify $\frac{120}{44}$

• Find the Greatest Common Divisor (GCD) of $120$ and $44$. The GCD of $120$ and $44$ is $4$.
• Divide both the numerator and the denominator by the GCD:$\frac{120 \div 4}{44 \div 4} = \frac{30}{11}$

Answer $\frac{24}{11}\div\frac{4}{5} = \frac{30}{11}$

The following animation demonstrates the divide-by,