Question
In a college, there are 850 students and 40 teachers. What is the ratio of the teachers to the students? Write it in the simplest form.
Answers
GPT-4o mini
To find the ratio of teachers to students, we have 40 teachers and 850 students. The ratio can be expressed as:
\[
\text{Ratio} = \frac{\text{Number of Teachers}}{\text{Number of Students}} = \frac{40}{850}
\]
Next, we simplify this fraction. We can do this by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 40 and 850 is 10.
Now we'll divide both the numerator and the denominator by 10:
\[
\frac{40 \div 10}{850 \div 10} = \frac{4}{85}
\]
Thus, the ratio of teachers to students in simplest form is:
\[
\boxed{4:85}
\]
\[
\text{Ratio} = \frac{\text{Number of Teachers}}{\text{Number of Students}} = \frac{40}{850}
\]
Next, we simplify this fraction. We can do this by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 40 and 850 is 10.
Now we'll divide both the numerator and the denominator by 10:
\[
\frac{40 \div 10}{850 \div 10} = \frac{4}{85}
\]
Thus, the ratio of teachers to students in simplest form is:
\[
\boxed{4:85}
\]