Here, the weird thing is the denominator
This is the case of the old and ever famous
common denominator syndrome.
1\2 + 1\4
you could use money and say 2 quarters make a half and one more quarter
makes 75¢ so a half a dollar plus a quarter of a dollar makes 3 quarters
of a dollar. You still created the common denominator when you made
two quarts instead of a fifty cent piece.
Looks like this:
the denominators are
we have to change the 1\2 (one half)
into 2\4 (two quarters) to match the one quarter. Now it looks like
Now the denominators
are the same.
Now we may add or subtract.
2\4 + 1\4 = 3\4
or 2\4 - 1\4 = 1\4
Notice common denominators before and after the equal sign. This is