Add 27/84 and 14/16
27/84 + 14/16 is 67/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 84 × 4 = 336,
27/84 = 27 × 4/84 × 4 = 108/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
14/16 = 14 × 21/16 × 21 = 294/336 - Add the two like fractions:
108/336 + 294/336 = 108 + 294/336 = 402/336 - 402/336 simplified gives 67/56
- So, 27/84 + 14/16 = 67/56
In mixed form: 111/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/84+14/16 27/84+28/16 27/84+14/32 81/84+14/16 27/84+42/16 27/84+14/48 27/84+70/16 27/84+14/80 27/84+98/16