Add 49/30 and 21/98
1st number: 1 19/30, 2nd number: 21/98
49/30 + 21/98 is 194/105.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 98 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
49/30 = 49 × 49/30 × 49 = 2401/1470 - Likewise, for the 2nd fraction, since 98 × 15 = 1470,
21/98 = 21 × 15/98 × 15 = 315/1470 - Add the two like fractions:
2401/1470 + 315/1470 = 2401 + 315/1470 = 2716/1470 - 2716/1470 simplified gives 194/105
- So, 49/30 + 21/98 = 194/105
In mixed form: 189/105
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