Add 21/16 and 32/9
1st number: 1 5/16, 2nd number: 3 5/9
21/16 + 32/9 is 701/144.
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,
32/9 = 32 × 16/9 × 16 = 512/144 - Add the two like fractions:
189/144 + 512/144 = 189 + 512/144 = 701/144 - So, 21/16 + 32/9 = 701/144
In mixed form: 4125/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/16+32/9 21/16+64/9 21/32+32/9 21/16+32/18 63/16+32/9 21/16+96/9 21/48+32/9 21/16+32/27 21/80+32/9 21/16+32/45 21/16+32/63