Add 49/27 and 90/98
1st number: 1 22/27, 2nd number: 90/98
49/27 + 90/98 is 3616/1323.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 98 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 27 × 98 = 2646,
49/27 = 49 × 98/27 × 98 = 4802/2646 - Likewise, for the 2nd fraction, since 98 × 27 = 2646,
90/98 = 90 × 27/98 × 27 = 2430/2646 - Add the two like fractions:
4802/2646 + 2430/2646 = 4802 + 2430/2646 = 7232/2646 - 7232/2646 simplified gives 3616/1323
- So, 49/27 + 90/98 = 3616/1323
In mixed form: 2970/1323
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