Add 27/30 and 21/98
27/30 + 21/98 is 39/35.
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,
27/30 = 27 × 49/30 × 49 = 1323/1470 - Likewise, for the 2nd fraction, since 98 × 15 = 1470,
21/98 = 21 × 15/98 × 15 = 315/1470 - Add the two like fractions:
1323/1470 + 315/1470 = 1323 + 315/1470 = 1638/1470 - 1638/1470 simplified gives 39/35
- So, 27/30 + 21/98 = 39/35
In mixed form: 14/35
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