What is 33/11 Divided By 5/4

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

• Rewrite the Division as Multiplication by the Reciprocal:

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

• Multiply the Numerators: $33 \times 4 = 132$
• Multiply the Denominators: $11 \times 5 = 55$
• Form the New Fraction: $\frac{33}{11} \times \frac{5}{4} = \frac{132}{55}$

Let's Simplify $\frac{132}{55}$

• Find the Greatest Common Divisor (GCD) of $132$ and $55$. The GCD of $132$ and $55$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{132 \div 11}{55 \div 11} = \frac{12}{5}$

Answer $\frac{33}{11}\div\frac{5}{4} = \frac{12}{5}$

The following animation demonstrates the divide-by,