What is 45/81 Divided By 2/9

Solving $\frac{45}{81}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{45}{81} \div \frac{2}{9} = \frac{45}{81} \times \frac{9}{2}$

• Multiply the Numerators: $45 \times 9 = 405$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{45}{81} \times \frac{2}{9} = \frac{405}{162}$

Let's Simplify $\frac{405}{162}$

• Find the Greatest Common Divisor (GCD) of $405$ and $162$. The GCD of $405$ and $162$ is $81$.
• Divide both the numerator and the denominator by the GCD:$\frac{405 \div 81}{162 \div 81} = \frac{5}{2}$

Answer $\frac{45}{81}\div\frac{2}{9} = \frac{5}{2}$

The following animation demonstrates the divide-by,