Add 45/42 and 30/49
1st number: 1 3/42, 2nd number: 30/49
45/42 + 30/49 is 165/98.
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,
45/42 = 45 × 7/42 × 7 = 315/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
30/49 = 30 × 6/49 × 6 = 180/294 - Add the two like fractions:
315/294 + 180/294 = 315 + 180/294 = 495/294 - 495/294 simplified gives 165/98
- So, 45/42 + 30/49 = 165/98
In mixed form: 167/98
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