One-half of the students in a school are girls, of these girls are studying in
higher classes. What fraction of girls are studying in higher classes?

To find the fraction of girls studying in higher classes, first, let’s assume there are 100 students in total. Since one-half are girls, that means there are 50 girls. If of these girls are studying in higher classes, then we calculate:

Now, we want the fraction of girls studying in higher classes with respect to the total number of girls. Thus, the fraction is:

However, since the options provided are fractions of the total student population (100 students), we convert the number of girls studying in higher classes to a fraction of total students:

So the answer is .

Now let’s explore some extra nuggets of knowledge!

Many educational systems around the world have faced the challenge of gender parity in education, leading to initiatives aimed at promoting equal opportunities for girls. Interestingly, in some cultures, historical biases have limited girls’ access to education, highlighting how social change can impact educational demographics dramatically.

In practical scenarios, when solving fraction problems, a common mistake is to confuse the part-to-whole ratio. Always ensure you clearly define what your numerator and denominator represent, checking if they pertain to the same whole to avoid mistakes in calculation!