What is 54/81 Divided By 2/9

Solving $\frac{54}{81}\div\frac{2}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{54}{81} \div \frac{2}{9} = \frac{54}{81} \times \frac{9}{2}$

• Multiply the Numerators: $54 \times 9 = 486$
• Multiply the Denominators: $81 \times 2 = 162$
• Form the New Fraction: $\frac{54}{81} \times \frac{2}{9} = \frac{486}{162}$

Let's Simplify $\frac{486}{162}$

• Find the Greatest Common Divisor (GCD) of $486$ and $162$. The GCD of $486$ and $162$ is $162$.
• Divide both the numerator and the denominator by the GCD:$\frac{486 \div 162}{162 \div 162} = \frac{3}{1}$

Answer $\frac{54}{81}\div\frac{2}{9} = \frac{3}{1}$

The following animation demonstrates the divide-by,