What is 22/52 Divided By 8/9

Solving $\frac{22}{52}\div\frac{8}{9}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{52} \div \frac{8}{9} = \frac{22}{52} \times \frac{9}{8}$

• Multiply the Numerators: $22 \times 9 = 198$
• Multiply the Denominators: $52 \times 8 = 416$
• Form the New Fraction: $\frac{22}{52} \times \frac{8}{9} = \frac{198}{416}$

Let's Simplify $\frac{198}{416}$

• Find the Greatest Common Divisor (GCD) of $198$ and $416$. The GCD of $198$ and $416$ is $2$.
• Divide both the numerator and the denominator by the GCD:$\frac{198 \div 2}{416 \div 2} = \frac{99}{208}$

Answer $\frac{22}{52}\div\frac{8}{9} = \frac{99}{208}$

The following animation demonstrates the divide-by,