What is 18/81 Divided By 2/5

Solving $\frac{18}{81}\div\frac{2}{5}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{81} \div \frac{2}{5} = \frac{18}{81} \times \frac{5}{2}$

• Multiply the Numerators: $18 \times 5 = 90$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{18}{81} \times \frac{2}{5} = \frac{90}{162}$

Let's Simplify $\frac{90}{162}$

• Find the Greatest Common Divisor (GCD) of $90$ and $162$. The GCD of $90$ and $162$ is $18$.
• Divide both the numerator and the denominator by the GCD:$\frac{90 \div 18}{162 \div 18} = \frac{5}{9}$

Answer $\frac{18}{81}\div\frac{2}{5} = \frac{5}{9}$

The following animation demonstrates the divide-by,