Addition and subtraction are prehistoric, they were used before man could write, even som animals addd and subtract (raven, crows, apes, etc.)
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Subtracting a fraction is the same as adding its negative.
adding
I learned to always change the denominators before adding or subtracting the numerators. You must always have a common denominator before adding or subtracting.
only when adding and subtracting
Subtracting a negative is the same as adding the equivalent positive. For example, subtracting minus 10 is the same as adding 10.