What is 11/22 Divided By 9/8

Solving $\frac{11}{22}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{11}{22} \div \frac{9}{8} = \frac{11}{22} \times \frac{8}{9}$

• Multiply the Numerators: $11 \times 8 = 88$
• Multiply the Denominators: $22 \times 9 = 198$
• Form the New Fraction: $\frac{11}{22} \times \frac{9}{8} = \frac{88}{198}$

Let's Simplify $\frac{88}{198}$

• Find the Greatest Common Divisor (GCD) of $88$ and $198$. The GCD of $88$ and $198$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{88 \div 22}{198 \div 22} = \frac{4}{9}$

Answer $\frac{11}{22}\div\frac{9}{8} = \frac{4}{9}$

The following animation demonstrates the divide-by,