Add 21/27 and 12/14
21/27 + 12/14 is 103/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 14 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
21/27 = 21 × 14/27 × 14 = 294/378 - Likewise, for the 2nd fraction, since 14 × 27 = 378,
12/14 = 12 × 27/14 × 27 = 324/378 - Add the two like fractions:
294/378 + 324/378 = 294 + 324/378 = 618/378 - 618/378 simplified gives 103/63
- So, 21/27 + 12/14 = 103/63
In mixed form: 140/63
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