A school has an enrollment of 600 students. 330 of the students are girls. Express the fraction of students who are boys in simplest terms

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12/20
11/20
9/20
13/20

1 answer

To find the fraction of students who are boys, we first need to determine how many boys there are in the school.

  1. We know the total enrollment is 600 students.
  2. There are 330 girls.

Now, we can calculate the number of boys:

\[ \text{Number of boys} = \text{Total students} - \text{Number of girls} = 600 - 330 = 270 \]

Next, we express the fraction of boys in terms of the total enrollment:

\[ \text{Fraction of boys} = \frac{\text{Number of boys}}{\text{Total enrollment}} = \frac{270}{600} \]

Now we simplify the fraction \(\frac{270}{600}\):

To simplify, we can find the greatest common divisor (GCD) of 270 and 600. Both numbers can be divided by 30:

\[ \frac{270 \div 30}{600 \div 30} = \frac{9}{20} \]

Thus, the fraction of students who are boys in simplest terms is:

\[ \frac{9}{20} \]

So the answer is \(\frac{9}{20}\).