Add 30/14 and 90/27
1st number: 2 2/14, 2nd number: 3 9/27
30/14 + 90/27 is 115/21.
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,
90/27 = 90 × 14/27 × 14 = 1260/378 - Add the two like fractions:
810/378 + 1260/378 = 810 + 1260/378 = 2070/378 - 2070/378 simplified gives 115/21
- So, 30/14 + 90/27 = 115/21
In mixed form: 510/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/14+90/27 30/28+90/27 30/14+90/54 90/14+90/27 30/42+90/27 30/14+90/81 30/70+90/27 30/98+90/27