Add 21/42 and 28/49
21/42 + 28/49 is 15/14.
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,
21/42 = 21 × 7/42 × 7 = 147/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
28/49 = 28 × 6/49 × 6 = 168/294 - Add the two like fractions:
147/294 + 168/294 = 147 + 168/294 = 315/294 - 315/294 simplified gives 15/14
- So, 21/42 + 28/49 = 15/14
In mixed form: 11/14
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