You mean 1/2 + 1/4? Imagine as quarters from a dollar, ok? Each quarter is 25 cents and if you have two, that makes it fifty. If you have two fifty cents, that makes a dollar (1/2+1/2=1). So, fifty cents plus a quarter is what? 75 cents? Yes.
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19 and 3/4
4 and (not an!) a half.
5.25, or 5 and 1 quarter (5 1/4)
1/8
One fourth plus one half plus one half plus 1 is equal to 2.25 or 2 1/4