Add 18/42 and 30/49
18/42 + 30/49 is 51/49.
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,
18/42 = 18 × 7/42 × 7 = 126/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
30/49 = 30 × 6/49 × 6 = 180/294 - Add the two like fractions:
126/294 + 180/294 = 126 + 180/294 = 306/294 - 306/294 simplified gives 51/49
- So, 18/42 + 30/49 = 51/49
In mixed form: 12/49
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