Add 98/30 and 54/49
1st number: 3 8/30, 2nd number: 1 5/49
98/30 + 54/49 is 3211/735.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
98/30 = 98 × 49/30 × 49 = 4802/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
54/49 = 54 × 30/49 × 30 = 1620/1470 - Add the two like fractions:
4802/1470 + 1620/1470 = 4802 + 1620/1470 = 6422/1470 - 6422/1470 simplified gives 3211/735
- So, 98/30 + 54/49 = 3211/735
In mixed form: 4271/735
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