What is 33/53 Divided By 3/5

Solving $\frac{33}{53}\div\frac{3}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{53} \div \frac{3}{5} = \frac{33}{53} \times \frac{5}{3}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $53 \times 3 = 159$
• Form the New Fraction: $\frac{33}{53} \times \frac{3}{5} = \frac{165}{159}$

Let's Simplify $\frac{165}{159}$

• Find the Greatest Common Divisor (GCD) of $165$ and $159$. The GCD of $165$ and $159$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{159 \div 3} = \frac{55}{53}$

Answer $\frac{33}{53}\div\frac{3}{5} = \frac{55}{53}$

The following animation demonstrates the divide-by,