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?

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To find the fraction of all the pupils who were boys and did not wear spectacles, we need to determine the fraction of boys who did not wear spectacles.

Let's use the information given step by step:

1. The question states that 3/4 of the pupils in the class wore spectacles. Therefore, the fraction of pupils who did not wear spectacles is 1 - 3/4 = 1/4.

2. It is also given that 1/3 of the pupils who did not wear spectacles were boys. So, we can find the fraction of boys who did not wear spectacles by multiplying 1/4 (the fraction of pupils who did not wear spectacles) by 1/3 (the fraction of pupils who are boys).

(1/4) * (1/3) = 1/12

Hence, the fraction of all the pupils who were boys and did not wear spectacles is 1/12.