What is 22/33 Divided By 5/9

Solving $\frac{22}{33}\div\frac{5}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{33} \div \frac{5}{9} = \frac{22}{33} \times \frac{9}{5}$

• Multiply the Numerators: $22 \times 9 = 198$
• Multiply the Denominators: $33 \times 5 = 165$
• Form the New Fraction: $\frac{22}{33} \times \frac{5}{9} = \frac{198}{165}$

Let's Simplify $\frac{198}{165}$

• Find the Greatest Common Divisor (GCD) of $198$ and $165$. The GCD of $198$ and $165$ is $33$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 33}{165 \div 33} = \frac{6}{5}$

Answer $\frac{22}{33}\div\frac{5}{9} = \frac{6}{5}$

The following animation demonstrates the divide-by,