What is 22/11 Divided By 5/9

Solving $\frac{22}{11}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{11} \div \frac{5}{9} = \frac{22}{11} \times \frac{9}{5}$

• Multiply the Numerators: $22 \times 9 = 198$
• Multiply the Denominators: $11 \times 5 = 55$
• Form the New Fraction: $\frac{22}{11} \times \frac{5}{9} = \frac{198}{55}$

Let's Simplify $\frac{198}{55}$

• Find the Greatest Common Divisor (GCD) of $198$ and $55$. The GCD of $198$ and $55$ is $11$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 11}{55 \div 11} = \frac{18}{5}$

Answer $\frac{22}{11}\div\frac{5}{9} = \frac{18}{5}$

The following animation demonstrates the divide-by,