Add 28/42 and 40/49
28/42 + 40/49 is 218/147.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 49 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 42 × 7 = 294,
28/42 = 28 × 7/42 × 7 = 196/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
40/49 = 40 × 6/49 × 6 = 240/294 - Add the two like fractions:
196/294 + 240/294 = 196 + 240/294 = 436/294 - 436/294 simplified gives 218/147
- So, 28/42 + 40/49 = 218/147
In mixed form: 171/147
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