To find the ratio of the number of students who are staying at school to the number of students who are going on the field trip, we can first note the number of students for each group.
- Students staying at school: 22
- Students going on the field trip: 28
The ratio can be expressed as:
\[ \text{Ratio} = \frac{\text{students staying at school}}{\text{students going on field trip}} = \frac{22}{28} \]
Next, we can simplify the ratio. We can divide both numbers by their greatest common divisor (GCD). The GCD of 22 and 28 is 2.
Dividing both sides by 2 gives:
\[ \frac{22 \div 2}{28 \div 2} = \frac{11}{14} \]
Thus, the ratio of the number of students who are staying at school to the number of students who are going on the field trip is:
\[ \boxed{11:14} \]
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