Add 2/27 and 28/42
2/27 + 28/42 is 20/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
2/27 = 2 × 14/27 × 14 = 28/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
28/42 = 28 × 9/42 × 9 = 252/378 - Add the two like fractions:
28/378 + 252/378 = 28 + 252/378 = 280/378 - 280/378 simplified gives 20/27
- So, 2/27 + 28/42 = 20/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/27+28/42 2/27+56/42 2/54+28/42 2/27+28/84 6/27+28/42 2/27+84/42 2/81+28/42 10/27+28/42 14/27+28/42