Add 21/16 and 25/9
1st number: 1 5/16, 2nd number: 2 7/9
21/16 + 25/9 is 589/144.
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,
21/16 = 21 × 9/16 × 9 = 189/144 - Likewise, for the 2nd fraction, since 9 × 16 = 144,
25/9 = 25 × 16/9 × 16 = 400/144 - Add the two like fractions:
189/144 + 400/144 = 189 + 400/144 = 589/144 - So, 21/16 + 25/9 = 589/144
In mixed form: 413/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/16+25/9 21/16+50/9 21/32+25/9 21/16+25/18 63/16+25/9 21/16+75/9 21/48+25/9 21/16+25/27 21/80+25/9 21/16+25/45 21/16+25/63