What is 22/66 Divided By 9/8

Solving $\frac{22}{66}\div\frac{9}{8}$

• Rewrite the Division as Multiplication by the Reciprocal:

$\frac{22}{66} \div \frac{9}{8} = \frac{22}{66} \times \frac{8}{9}$

• Multiply the Numerators: $22 \times 8 = 176$
• Multiply the Denominators: $66 \times 9 = 594$
• Form the New Fraction: $\frac{22}{66} \times \frac{9}{8} = \frac{176}{594}$

Let's Simplify $\frac{176}{594}$

• Find the Greatest Common Divisor (GCD) of $176$ and $594$. The GCD of $176$ and $594$ is $22$.
• Divide both the numerator and the denominator by the GCD:$\frac{176 \div 22}{594 \div 22} = \frac{8}{27}$

Answer $\frac{22}{66}\div\frac{9}{8} = \frac{8}{27}$

The following animation demonstrates the divide-by,