Question

The circle graph shows the number of students at Rockford College who are enrolled in various majors. Find the ratio of science majors to English majors.
Question content area bottom left
Part 1
The ratio is
  
enter your response here.
​(Type a simplified​ fraction.)
.
.
.
Question content area right
Part 1
A circle graph has 6 sectors, each labeled with a major as follows, listed here starting at the rightmost point of the circle graph and moving counterclockwise: "Business," "Computer Science," "Science," "English," "History," and "Social Science."
Business
Computer Science
Science
English
History
Social Science
Start 7 By 2 Table 1st Row 1st Column Major 2nd Column # of students 2nd Row 1st Column Business 2nd Column 3700 3rd Row 1st Column Computer Science 2nd Column 1800 4st Row 1st Column Science 2nd Column 1200 5st Row 1st Column English 2nd Column 2100 6st Row 1st Column History 2nd Column 900 7st Row 1st Column Social Science 2nd Column 2300 EndTable

Answer 1

To find the ratio of science majors to English majors at Rockford College, we can use the data provided for the number of students enrolled in each major.

From the table, we have:

- Number of Science majors = 1200
- Number of English majors = 2100

The ratio of Science majors to English majors can be represented as follows:

\[
\text{Ratio} = \frac{\text{Number of Science Majors}}{\text{Number of English Majors}} = \frac{1200}{2100}
\]

Next, we simplify this fraction. We can divide both the numerator and the denominator by the greatest common divisor (GCD) of 1200 and 2100.

The GCD of 1200 and 2100 is 300. Now, we simplify:

\[
\frac{1200 \div 300}{2100 \div 300} = \frac{4}{7}
\]

Thus, the simplified ratio of science majors to English majors is:

\[
\boxed{\frac{4}{7}}
\]