Add 10/16 and 14/9
1st number: 10/16, 2nd number: 1 5/9
10/16 + 14/9 is 157/72.
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,
10/16 = 10 × 9/16 × 9 = 90/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
14/9 = 14 × 16/9 × 16 = 224/144 - Add the two like fractions:
90/144 + 224/144 = 90 + 224/144 = 314/144 - 314/144 simplified gives 157/72
- So, 10/16 + 14/9 = 157/72
In mixed form: 213/72
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/16+14/9 10/16+28/9 10/32+14/9 10/16+14/18 30/16+14/9 10/16+42/9 10/48+14/9 10/16+14/27 50/16+14/9 10/16+70/9 10/80+14/9 10/16+14/45 70/16+14/9 10/16+98/9 10/16+14/63