Find, as a fraction of one turn, the size of an angle equal to `220^(@)`

Answer

To find the size of an angle equal to \( 220^\circ \) as a fraction of one turn, follow these steps:

### Step 1: Understand the relationship between degrees and turns
One complete turn is equal to \( 360^\circ \). This means that \( 360^\circ \) corresponds to one full turn.

### Step 2: Determine the value of one degree in terms of turns
To convert degrees to turns, we can use the unitary method. Since \( 360^\circ \) equals one turn, we can express one degree as:
\[ 1^\circ = \frac{1 \text{ turn}}{360} \]

### Step 3: Calculate the fraction of one turn for \( 220^\circ \)
Now, to find out how many turns \( 220^\circ \) represents, we multiply \( 220 \) degrees by the fraction of one turn that corresponds to one degree:
\[ 220^\circ = 220 \times \frac{1 \text{ turn}}{360} \]

### Step 4: Simplify the expression
This can be simplified as follows:
\[ 220^\circ = \frac{220}{360} \text{ turns} \]

### Step 5: Reduce the fraction
Next, we simplify \( \frac{220}{360} \):
- Both the numerator and the denominator can be divided by \( 20 \):
\[ \frac{220 \div 20}{360 \div 20} = \frac{11}{18} \]

### Final Answer
Thus, \( 220^\circ \) is equal to \( \frac{11}{18} \) of one turn.

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