What is 22/33 Divided By 8/9

Solving $\frac{22}{33}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{33} \div \frac{8}{9} = \frac{22}{33} \times \frac{9}{8}$

• Multiply the Numerators: $22 \times 9 = 198$
• Multiply the Denominators: $33 \times 8 = 264$
• Form the New Fraction: $\frac{22}{33} \times \frac{8}{9} = \frac{198}{264}$

Let's Simplify $\frac{198}{264}$

• Find the Greatest Common Divisor (GCD) of $198$ and $264$. The GCD of $198$ and $264$ is $66$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 66}{264 \div 66} = \frac{3}{4}$

Answer $\frac{22}{33}\div\frac{8}{9} = \frac{3}{4}$

The following animation demonstrates the divide-by,