Add 12/16 and 27/14
1st number: 12/16, 2nd number: 1 13/14
12/16 + 27/14 is 75/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 14 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 16 × 7 = 112,
12/16 = 12 × 7/16 × 7 = 84/112 - Likewise, for the 2nd fraction, since 14 × 8 = 112,
27/14 = 27 × 8/14 × 8 = 216/112 - Add the two like fractions:
84/112 + 216/112 = 84 + 216/112 = 300/112 - 300/112 simplified gives 75/28
- So, 12/16 + 27/14 = 75/28
In mixed form: 219/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/16+27/14 12/16+54/14 12/32+27/14 12/16+27/28 36/16+27/14 12/16+81/14 12/48+27/14 12/16+27/42 60/16+27/14 12/80+27/14 12/16+27/70 84/16+27/14 12/16+27/98