1/A + 1/AB + 1/ABB

Home Adding/Subtracting Comparing Fractions A/B + B/A A x A/B Mult Mixed Numbers Mult Mixed Nums (II) 1/A + 1/AB + 1/ABB 1/A - 1/AB - 1/ABB Add 3 Fractions Calculate Frac 1 Calculate Frac 2 Repeating Decimal Repeating Decimal 2 Repeating Decimals 3 A/B + B/C + C/D

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Adding Three Fractions In The Form:  1  +    1   +    1      

                                                                   a                   ab          ab2

A.     From algebra we learn: 

1  +   1   +   1       =  b(b + 1) + 1    

       a                ab             ab2          ab2

B.     Use the following rules: 

1.      Multiply the coefficient ‘b’, by that number plus 1.

2.      Add 1 to step 1.  This is the numerator.

3.      The last denominator of the question is the denominator of the answer.

4.      Simplify the fraction if need be.

           Ex [1]  1  +  1  +  1  =

                 4     12    36                         (fraction).

a)      The coefficient in this case is 3.

b)      3 x (3 + 1) = 12.

c)      12 + 1 = 13.  This is the numerator.

d)      The answer is 13/36.

        Ex [2] 1  + 1  +  1  =

                 5    20    80                        (fraction).

a)      The coefficient in this case is 4.

b)      4 x (4 + 1) = 20.

c)      20 + 1 = 21.  This is the numerator.

d)      The answer is 21/80.

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