Add 45/98 and 27/42
45/98 + 27/42 is 54/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 42 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
45/98 = 45 × 3/98 × 3 = 135/294 - Likewise, for the 2nd fraction, since 42 × 7 = 294,
27/42 = 27 × 7/42 × 7 = 189/294 - Add the two like fractions:
135/294 + 189/294 = 135 + 189/294 = 324/294 - 324/294 simplified gives 54/49
- So, 45/98 + 27/42 = 54/49
In mixed form: 15/49
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