Add 21/8 and 27/14
1st number: 2 5/8, 2nd number: 1 13/14
21/8 + 27/14 is 255/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 14 is 56
Next, find the equivalent fraction of both fractional numbers with denominator 56 - For the 1st fraction, since 8 × 7 = 56,
21/8 = 21 × 7/8 × 7 = 147/56 - Likewise, for the 2nd fraction, since 14 × 4 = 56,
27/14 = 27 × 4/14 × 4 = 108/56 - Add the two like fractions:
147/56 + 108/56 = 147 + 108/56 = 255/56 - So, 21/8 + 27/14 = 255/56
In mixed form: 431/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/8+27/14 21/8+54/14 21/16+27/14 21/8+27/28 63/8+27/14 21/8+81/14 21/24+27/14 21/8+27/42 21/40+27/14 21/8+27/70 21/56+27/14 21/8+27/98