What is 18/81 Divided By 2/6

Solving $\frac{18}{81}\div\frac{2}{6}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{18}{81} \div \frac{2}{6} = \frac{18}{81} \times \frac{6}{2}$

• Multiply the Numerators: $18 \times 6 = 108$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{18}{81} \times \frac{2}{6} = \frac{108}{162}$

Let's Simplify $\frac{108}{162}$

• Find the Greatest Common Divisor (GCD) of $108$ and $162$. The GCD of $108$ and $162$ is $54$.
• Divide both the numerator and the denominator by the GCD:$\frac{108 \div 54}{162 \div 54} = \frac{2}{3}$

Answer $\frac{18}{81}\div\frac{2}{6} = \frac{2}{3}$

The following animation demonstrates the divide-by,