Find the ratio of the following:
33 km to 121 km

Answer

To find the ratio of 33 km to 121 km, we can follow these steps:

### Step 1: Write the ratio
We start by writing the ratio of the two quantities. Since both quantities are in kilometers (km), we can directly write the ratio as:
\[ \text{Ratio} = 33 \text{ km} : 121 \text{ km} \]

### Step 2: Simplify the ratio
Since both quantities are in the same unit (km), we can cancel the units:
\[ \text{Ratio} = 33 : 121 \]

### Step 3: Convert the ratio to a fraction
To simplify further, we can express the ratio as a fraction:
\[ \frac{33}{121} \]

### Step 4: Simplify the fraction
Next, we need to simplify the fraction \( \frac{33}{121} \). We can find the greatest common divisor (GCD) of 33 and 121. The factors of 33 are 1, 3, 11, and 33, while the factors of 121 are 1, 11, and 121. The GCD is 11.

Now we divide both the numerator and the denominator by their GCD:
\[ \frac{33 \div 11}{121 \div 11} = \frac{3}{11} \]

### Step 5: Write the simplified ratio
Now we can write the simplified ratio:
\[ \text{Ratio} = 3 : 11 \]

### Final Answer
Thus, the ratio of 33 km to 121 km is:
\[ \text{Ratio} = 3 : 11 \]

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