What is 33/81 Divided By 1/5

Solving $\frac{33}{81}\div\frac{1}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{33}{81} \div \frac{1}{5} = \frac{33}{81} \times \frac{5}{1}$

• Multiply the Numerators: $33 \times 5 = 165$
• Multiply the Denominators: $81 \times 1 = 81$
• Form the New Fraction: $\frac{33}{81} \times \frac{1}{5} = \frac{165}{81}$

Let's Simplify $\frac{165}{81}$

• Find the Greatest Common Divisor (GCD) of $165$ and $81$. The GCD of $165$ and $81$ is $3$.
• Divide both the numerator and the denominator by the GCD:$\frac{165 \div 3}{81 \div 3} = \frac{55}{27}$

Answer $\frac{33}{81}\div\frac{1}{5} = \frac{55}{27}$

The following animation demonstrates the divide-by,