What is 33/52 Divided By 3/5

Solving $\frac{33}{52}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{52} \div \frac{3}{5} = \frac{33}{52} \times \frac{5}{3}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $52 \times 3 = 156$
• Form the New Fraction: $\frac{33}{52} \times \frac{3}{5} = \frac{165}{156}$

Let's Simplify $\frac{165}{156}$

• Find the Greatest Common Divisor (GCD) of $165$ and $156$. The GCD of $165$ and $156$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{156 \div 3} = \frac{55}{52}$

Answer $\frac{33}{52}\div\frac{3}{5} = \frac{55}{52}$

The following animation demonstrates the divide-by,