In a class, 2/5 of the boys wear glasses and 1/3 of the girls wear glasses. What fraction of the class wear glasses?
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To find the fraction of the class that wears glasses, we need to add the fractions of boys and girls who wear glasses.
Given that 2/5 of the boys wear glasses and 1/3 of the girls wear glasses, we can calculate the fraction of boys wearing glasses by multiplying the total fraction of boys (1) by the fraction of boys who wear glasses (2/5):
1 * 2/5 = 2/5
Similarly, we can calculate the fraction of girls wearing glasses by multiplying the total fraction of girls (1) by the fraction of girls who wear glasses (1/3):
1 * 1/3 = 1/3
To find the total fraction of the class wearing glasses, we need to add the fractions of boys and girls wearing glasses:
2/5 + 1/3 = 6/15 + 5/15 = 11/15
Therefore, 11/15 of the class wear glasses.