Add 35/42 and 28/49
35/42 + 28/49 is 59/42.
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,
35/42 = 35 × 7/42 × 7 = 245/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
28/49 = 28 × 6/49 × 6 = 168/294 - Add the two like fractions:
245/294 + 168/294 = 245 + 168/294 = 413/294 - 413/294 simplified gives 59/42
- So, 35/42 + 28/49 = 59/42
In mixed form: 117/42
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