Add 8/27 and 12/16
8/27 + 12/16 is 113/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 16 is 432
Next, find the equivalent fraction of both fractional numbers with denominator 432 - For the 1st fraction, since 27 × 16 = 432,
8/27 = 8 × 16/27 × 16 = 128/432 - Likewise, for the 2nd fraction, since 16 × 27 = 432,
12/16 = 12 × 27/16 × 27 = 324/432 - Add the two like fractions:
128/432 + 324/432 = 128 + 324/432 = 452/432 - 452/432 simplified gives 113/108
- So, 8/27 + 12/16 = 113/108
In mixed form: 15/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/27+12/16 8/27+24/16 8/54+12/16 8/27+12/32 24/27+12/16 8/27+36/16 8/81+12/16 8/27+12/48 40/27+12/16 8/27+60/16 8/27+12/80 56/27+12/16 8/27+84/16