Add 35/98 and 21/30
35/98 + 21/30 is 37/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 98 and 30 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 98 × 15 = 1470,
35/98 = 35 × 15/98 × 15 = 525/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
21/30 = 21 × 49/30 × 49 = 1029/1470 - Add the two like fractions:
525/1470 + 1029/1470 = 525 + 1029/1470 = 1554/1470 - 1554/1470 simplified gives 37/35
- So, 35/98 + 21/30 = 37/35
In mixed form: 12/35
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