HOW TO ADD FRACTIONS, ADDING FRACTIONS WITH UNLIKE DENOMINATORS, SOLVED EXAMPLES

Please study Fractions before Adding Fractions if you have not already done so. There we studied about half, quarter, three fourthwith examples and exercises.

Here, we explain How to add fractions in general, adding of fractions with unlike denominators in particular in a lucid way. We include solved examples and problems for practice with answers.

Adding of Like Fractions

Sum of like fractions = (Sum of their numerators)⁄(Common denominator)

Now 54 is taken as the common denominator. The number with which we have to multiply each denominator to get 54, is taken and that number multiplies each numerator as shown below.

= ( 8 x 6 + 11 x 3 + 13 x 2 + 5 x 9)⁄54 = (48 + 33 + 26 + 45)⁄54 = 152⁄54 = 152^{76}⁄54^{27} = 76⁄27 = 2 ^{22}⁄_{27}.Ans.

Solved Example 3 of Adding Fractions

Find the sum 2 ^{5}⁄_{12} + 1 ^{19}⁄_{60} +2 ^{11}⁄_{40} .

Now 120 is taken as the common denominator. The number with which we have to multiply each denominator to get 120, is taken and that number multiplies each numerator as shown below.

= (29 x 10 + 79 x 2 + 91 x 3)⁄120 = (290 + 158 + 273)⁄120 = 721⁄120 = 6 ^{1}⁄_{120} . Ans.

For Application of various topics of Fractionsincluding Adding Fractions to Word Problems go to Fraction Word problems.

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Exercise on Adding Fractions

Do the Adding Fractions given below.

1⁄5 + 3⁄5

2⁄11 + 3⁄11 + 4⁄11 + 5⁄11

7⁄15 + 4⁄9

7⁄24 + 7⁄18 + 15⁄22

4 ^{8}⁄_{9} + 2 ^{1}⁄_{3} +1⁄4.

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