Add 27/98 and 49/30
1st number: 27/98, 2nd number: 1 19/30
27/98 + 49/30 is 1403/735.
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,
27/98 = 27 × 15/98 × 15 = 405/1470 - Likewise, for the 2nd fraction, since 30 × 49 = 1470,
49/30 = 49 × 49/30 × 49 = 2401/1470 - Add the two like fractions:
405/1470 + 2401/1470 = 405 + 2401/1470 = 2806/1470 - 2806/1470 simplified gives 1403/735
- So, 27/98 + 49/30 = 1403/735
In mixed form: 1668/735
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