Add 12/27 and 28/49
12/27 + 28/49 is 64/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 49 is 1323
Next, find the equivalent fraction of both fractional numbers with denominator 1323 - For the 1st fraction, since 27 × 49 = 1323,
12/27 = 12 × 49/27 × 49 = 588/1323 - Likewise, for the 2nd fraction, since 49 × 27 = 1323,
28/49 = 28 × 27/49 × 27 = 756/1323 - Add the two like fractions:
588/1323 + 756/1323 = 588 + 756/1323 = 1344/1323 - 1344/1323 simplified gives 64/63
- So, 12/27 + 28/49 = 64/63
In mixed form: 11/63
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