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?

3 answers

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}}.
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.