What is 33/27 Divided By 4/5

Solving $\frac{33}{27}\div\frac{4}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{27} \div \frac{4}{5} = \frac{33}{27} \times \frac{5}{4}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $27 \times 4 = 108$
• Form the New Fraction: $\frac{33}{27} \times \frac{4}{5} = \frac{165}{108}$

Let's Simplify $\frac{165}{108}$

• Find the Greatest Common Divisor (GCD) of $165$ and $108$. The GCD of $165$ and $108$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{108 \div 3} = \frac{55}{36}$

Answer $\frac{33}{27}\div\frac{4}{5} = \frac{55}{36}$

The following animation demonstrates the divide-by,