Add 21/14 and 90/27
1st number: 1 7/14, 2nd number: 3 9/27
21/14 + 90/27 is 29/6.
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,
21/14 = 21 × 27/14 × 27 = 567/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
90/27 = 90 × 14/27 × 14 = 1260/378 - Add the two like fractions:
567/378 + 1260/378 = 567 + 1260/378 = 1827/378 - 1827/378 simplified gives 29/6
- So, 21/14 + 90/27 = 29/6
In mixed form: 45/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/14+90/27 21/28+90/27 21/14+90/54 63/14+90/27 21/42+90/27 21/14+90/81 21/70+90/27 21/98+90/27