Add 49/54 and 21/98
49/54 + 21/98 is 212/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 98 is 2646
Next, find the equivalent fraction of both fractional numbers with denominator 2646 - For the 1st fraction, since 54 × 49 = 2646,
49/54 = 49 × 49/54 × 49 = 2401/2646 - Likewise, for the 2nd fraction, since 98 × 27 = 2646,
21/98 = 21 × 27/98 × 27 = 567/2646 - Add the two like fractions:
2401/2646 + 567/2646 = 2401 + 567/2646 = 2968/2646 - 2968/2646 simplified gives 212/189
- So, 49/54 + 21/98 = 212/189
In mixed form: 123/189
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