What is 33/11 Divided By 4/5

Solving $\frac{33}{11}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{11} \div \frac{4}{5} = \frac{33}{11} \times \frac{5}{4}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $11 \times 4 = 44$
• Form the New Fraction: $\frac{33}{11} \times \frac{4}{5} = \frac{165}{44}$

Let's Simplify $\frac{165}{44}$

• Find the Greatest Common Divisor (GCD) of $165$ and $44$. The GCD of $165$ and $44$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 11}{44 \div 11} = \frac{15}{4}$

Answer $\frac{33}{11}\div\frac{4}{5} = \frac{15}{4}$

The following animation demonstrates the divide-by,