Add 12/16 and 8/9
12/16 + 8/9 is 59/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 9 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
12/16 = 12 × 9/16 × 9 = 108/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
8/9 = 8 × 16/9 × 16 = 128/144 - Add the two like fractions:
108/144 + 128/144 = 108 + 128/144 = 236/144 - 236/144 simplified gives 59/36
- So, 12/16 + 8/9 = 59/36
In mixed form: 123/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/16+8/9 12/16+16/9 12/32+8/9 12/16+8/18 36/16+8/9 12/16+24/9 12/48+8/9 12/16+8/27 60/16+8/9 12/16+40/9 12/80+8/9 12/16+8/45 84/16+8/9 12/16+56/9 12/16+8/63