Add 49/16 and 20/9
1st number: 3 1/16, 2nd number: 2 2/9
49/16 + 20/9 is 761/144.
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,
49/16 = 49 × 9/16 × 9 = 441/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
20/9 = 20 × 16/9 × 16 = 320/144 - Add the two like fractions:
441/144 + 320/144 = 441 + 320/144 = 761/144 - So, 49/16 + 20/9 = 761/144
In mixed form: 541/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/16+20/9 49/16+40/9 49/32+20/9 49/16+20/18 49/16+60/9 49/48+20/9 49/16+20/27 49/80+20/9 49/16+20/45 49/16+20/63