Add 75/42 and 30/49
1st number: 1 33/42, 2nd number: 30/49
75/42 + 30/49 is 235/98.
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,
75/42 = 75 × 7/42 × 7 = 525/294 - Likewise, for the 2nd fraction, since 49 × 6 = 294,
30/49 = 30 × 6/49 × 6 = 180/294 - Add the two like fractions:
525/294 + 180/294 = 525 + 180/294 = 705/294 - 705/294 simplified gives 235/98
- So, 75/42 + 30/49 = 235/98
In mixed form: 239/98
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