What mathematical concepts or principles did you apply in adding or subtracting the fractions?

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Leonard Stokes · Accepted Answer

Step 1  Addition:  Consider two fraction as ab and cd  Here, the denominators in the fractions are same. So, add the numerators and write the common denominator.  That is, ab+cd=a+cb  Consider two fraction as ab and cd  Here, the denominators in the fractions are not same. So, first find the common denominator and convert the terms to equivalent fractions with that denominator then add the numerators.  That is, ab+cd=a×dbd+c×bbd=ad+bcbd  Step 2  Subtraction:  Consider two fraction as ab and cb  Here, the denominators in the fractions are same. So, subtract the numerators and write the common denominator.  That is, ab−cb=a−cb  Consider two fraction as ab and cd  Here, the denominators in the fractions are not same. So, first find the common denominator and convert the terms to equivalent fractions with that denominator then subtract the numerators.  That is, ab−cd=a×dbd−c×bbd=ad−bcbd

What mathematical concepts or principles did you apply in adding or subtracting

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