Add 35/98 and 40/21
1st number: 35/98, 2nd number: 1 19/21
35/98 + 40/21 is 95/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 21 is 294
Next, find the equivalent fraction of both fractional numbers with denominator 294 - For the 1st fraction, since 98 × 3 = 294,
35/98 = 35 × 3/98 × 3 = 105/294 - Likewise, for the 2nd fraction, since 21 × 14 = 294,
40/21 = 40 × 14/21 × 14 = 560/294 - Add the two like fractions:
105/294 + 560/294 = 105 + 560/294 = 665/294 - 665/294 simplified gives 95/42
- So, 35/98 + 40/21 = 95/42
In mixed form: 211/42
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