In a particular school,2 /5 of all students are taking a biology class. Of 1/8
the students taking biology, one- are also taking an art class. What fraction of the students are taking both classes?
To find the fraction of students taking both biology and art classes, we multiply the fraction of students taking biology class by the fraction of students taking both classes after taking biology.
Fraction of students taking biology class = 2/5
Fraction of students taking both classes after taking biology = 1/8
Thus, the fraction of students taking both biology and art classes is (2/5) * (1/8) = 2/40 = 1/20. Answer: \boxed{\frac{1}{20}}.
To find the fraction of students taking both biology and art classes, we need to calculate the product of the fractions representing the proportion of students taking biology and the proportion of biology students taking art.
Given:
- 2/5 of all students are taking biology.
- Of students taking biology, 1/8 are also taking art.
Fraction of students taking both biology and art:
= (2/5) * (1/8)
= 2/40
= 1/20
Therefore, 1/20 of the students are taking both biology and art classes in the particular school.
Double check
Apologies for the incorrect response. Let's go through the problem again to find the correct answer.
Given:
- 2/5 of all students are taking biology.
- Of students taking biology, 1/8 are also taking art.
To find the fraction of students taking both biology and art classes, we need to calculate the product of the fractions representing the proportion of students taking biology and the proportion of biology students taking art.
Fraction of students taking biology class = 2/5
Fraction of biology students taking art = 1/8
Therefore, the fraction of students taking both biology and art classes is (2/5) * (1/8) = 2/40.
Simplifying the fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 2.
2/40 can be simplified to 1/20.
Thus, the correct fraction of students taking both biology and art classes is 1/20.
To find the fraction of students taking both biology and art classes, we need to consider the fractions of students taking biology and the fraction of those students who are also taking an art class.
First, let's calculate the fraction of students taking biology class. Given that 2/5 of all students are taking biology, we can express this as a fraction: 2/5.
Next, we need to find the fraction of students taking both biology and art classes. We are given that 1/8 of the students taking biology are also taking an art class. We can express this as the fraction 1/8.
To find the combined fraction of students taking both biology and art classes, we multiply the fractions of students taking biology and students taking art together. So, the fraction of students taking both classes is (2/5) * (1/8).
To multiply fractions, we multiply the numerators and multiply the denominators. Therefore, (2/5) * (1/8) = (2 * 1) / (5 * 8) = 2/40
Simplifying the fraction 2/40, we get 1/20.
Therefore, the fraction of students taking both biology and art classes is 1/20.