In a class, 3/4 of the pupils wore spectacles.1/3 of the pupils who did not wear spectacles were boys.What fraction of all the pupils were boys who did not wear spectacles?
To find the fraction of all the pupils who were boys and did not wear spectacles, we need to follow a step-by-step process:
Step 1: Find the fraction of pupils who wore spectacles.
Given that 3/4 of the pupils wore spectacles, this means that the remaining fraction (1 - 3/4) did not wear spectacles. Simplifying, 1 - 3/4 = 1/4.
Step 2: Find the fraction of pupils who did not wear spectacles and were boys.
Given that 1/3 of the pupils who did not wear spectacles were boys, we can calculate the fraction of all pupils who were boys and did not wear spectacles by multiplying the fractions from steps 1 and 2. So, (1/4) * (1/3) = 1/12.
Therefore, 1/12 of all the pupils were boys who did not wear spectacles.
1/4 did not wear spectacles, so
(1/4)(1/3) = 1/12 were boys without spectacles.