Add 1/49 and 49/27
1st number: 1/49, 2nd number: 1 22/27
1/49 + 49/27 is 2428/1323.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 27 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 49 × 27 = 1323,
1/49 = 1 × 27/49 × 27 = 27/1323 - Likewise, for the 2nd fraction, since 27 × 49 = 1323,
49/27 = 49 × 49/27 × 49 = 2401/1323 - Add the two like fractions:
27/1323 + 2401/1323 = 27 + 2401/1323 = 2428/1323 - So, 1/49 + 49/27 = 2428/1323
In mixed form: 11105/1323
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