Add 10/16 and 2/9
10/16 + 2/9 is 61/72.
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,
2/9 = 2 × 16/9 × 16 = 32/144 - Add the two like fractions:
90/144 + 32/144 = 90 + 32/144 = 122/144 - 122/144 simplified gives 61/72
- So, 10/16 + 2/9 = 61/72
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/16+2/9 10/16+4/9 10/32+2/9 10/16+2/18 30/16+2/9 10/16+6/9 10/48+2/9 10/16+2/27 50/16+2/9 10/16+10/9 10/80+2/9 10/16+2/45 70/16+2/9 10/16+14/9 10/16+2/63