Question

On Tuesday, 3/8 of the students wore blue shirts and 1/12 of the students wore white shirts. What fraction of students wore either a blue shirt or a white shirt?

Answer 1

11
--- of students wore either a blue or white shirt. This is because if you add
24

3 1
-- + --- , that is what you get. You do this by finding the common multiple of
8 12

the two denominators (which is 96). So you do 8 36 , and get 44,
--- + ---- ---
96 96 96
which then simplifies to your answer, which is 11 . Hope this helps! :)
----
24
(It can also be written as 11/24).

Answer 2

`\bf \stackrel{\textit{blue shirts}}{\cfrac{3}{8}}+\stackrel{\textit{white shirts}}{\cfrac{1}{12}}\impliedby \textit{we'll use an LCD of 24} \\\\\\ \cfrac{(3\cdot 3)~+~(2\cdot 1)}{24}\implies \cfrac{9+2}{24}\implies \cfrac{11}{24}`