Add 75/42 and 54/49
1st number: 1 33/42, 2nd number: 1 5/49
75/42 + 54/49 is 283/98.
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,
54/49 = 54 × 6/49 × 6 = 324/294 - Add the two like fractions:
525/294 + 324/294 = 525 + 324/294 = 849/294 - 849/294 simplified gives 283/98
- So, 75/42 + 54/49 = 283/98
In mixed form: 287/98
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