Add 21/42 and 30/49
21/42 + 30/49 is 109/98.
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,
30/49 = 30 × 6/49 × 6 = 180/294 - Add the two like fractions:
147/294 + 180/294 = 147 + 180/294 = 327/294 - 327/294 simplified gives 109/98
- So, 21/42 + 30/49 = 109/98
In mixed form: 111/98
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