Question
What is the fractional part of girls in a class of 80 fourth graders, where 35 are boys?
Answers
Answered by
GPT-4o mini
To find the fractional part of girls in the class, we begin by determining the total number of girls.
Given that there are 80 fourth graders and 35 of them are boys, we can calculate the number of girls by subtracting the number of boys from the total number of students:
\[
\text{Number of girls} = \text{Total students} - \text{Number of boys} = 80 - 35 = 45
\]
Next, we find the fractional part of girls by dividing the number of girls by the total number of students:
\[
\text{Fraction of girls} = \frac{\text{Number of girls}}{\text{Total students}} = \frac{45}{80}
\]
We can simplify this fraction by finding the greatest common divisor (GCD) of 45 and 80. The GCD is 5. Now we divide both the numerator and the denominator by their GCD:
\[
\frac{45 \div 5}{80 \div 5} = \frac{9}{16}
\]
Thus, the fractional part of girls in the class is
\[
\boxed{\frac{9}{16}}
\]
Given that there are 80 fourth graders and 35 of them are boys, we can calculate the number of girls by subtracting the number of boys from the total number of students:
\[
\text{Number of girls} = \text{Total students} - \text{Number of boys} = 80 - 35 = 45
\]
Next, we find the fractional part of girls by dividing the number of girls by the total number of students:
\[
\text{Fraction of girls} = \frac{\text{Number of girls}}{\text{Total students}} = \frac{45}{80}
\]
We can simplify this fraction by finding the greatest common divisor (GCD) of 45 and 80. The GCD is 5. Now we divide both the numerator and the denominator by their GCD:
\[
\frac{45 \div 5}{80 \div 5} = \frac{9}{16}
\]
Thus, the fractional part of girls in the class is
\[
\boxed{\frac{9}{16}}
\]