Add 30/14 and 2/27
1st number: 2 2/14, 2nd number: 2/27
30/14 + 2/27 is 419/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 14 × 27 = 378,
30/14 = 30 × 27/14 × 27 = 810/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
2/27 = 2 × 14/27 × 14 = 28/378 - Add the two like fractions:
810/378 + 28/378 = 810 + 28/378 = 838/378 - 838/378 simplified gives 419/189
- So, 30/14 + 2/27 = 419/189
In mixed form: 241/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/14+2/27 30/14+4/27 30/28+2/27 30/14+2/54 90/14+2/27 30/14+6/27 30/42+2/27 30/14+2/81 30/14+10/27 30/70+2/27 30/14+14/27 30/98+2/27