Add 84/16 and 14/9
1st number: 5 4/16, 2nd number: 1 5/9
84/16 + 14/9 is 245/36.
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,
84/16 = 84 × 9/16 × 9 = 756/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
14/9 = 14 × 16/9 × 16 = 224/144 - Add the two like fractions:
756/144 + 224/144 = 756 + 224/144 = 980/144 - 980/144 simplified gives 245/36
- So, 84/16 + 14/9 = 245/36
In mixed form: 629/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/16+28/9 84/32+14/9 84/16+14/18 84/16+42/9 84/48+14/9 84/16+14/27 84/16+70/9 84/80+14/9 84/16+14/45 84/16+98/9 84/16+14/63