Compare the ratios:
`22 :18 square 33:27`

Answer

To compare the ratios \( 22 : 18 \) and \( 33 : 27 \), we can follow these steps:

### Step 1: Write the ratios as fractions
We start by expressing the given ratios as fractions:
\[ \frac{22}{18} \quad \text{and} \quad \frac{33}{27} \]

### Step 2: Simplify the first ratio \( \frac{22}{18} \)
To simplify \( \frac{22}{18} \), we can divide both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 22 and 18 is 2.
\[ \frac{22 \div 2}{18 \div 2} = \frac{11}{9} \]

### Step 3: Simplify the second ratio \( \frac{33}{27} \)
Next, we simplify \( \frac{33}{27} \). The GCD of 33 and 27 is 3.
\[ \frac{33 \div 3}{27 \div 3} = \frac{11}{9} \]

### Step 4: Compare the simplified ratios
Now that we have both ratios simplified:
\[ \frac{22}{18} = \frac{11}{9} \quad \text{and} \quad \frac{33}{27} = \frac{11}{9} \]
Since both ratios are equal, we conclude that:
\[ 22 : 18 = 33 : 27 \]

### Final Conclusion
The two ratios \( 22 : 18 \) and \( 33 : 27 \) are equal.

---