Add 32/45 and 21/16
1st number: 32/45, 2nd number: 1 5/16
32/45 + 21/16 is 1457/720.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 16 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
32/45 = 32 × 16/45 × 16 = 512/720 - Likewise, for the 2nd fraction, since 16 × 45 = 720,
21/16 = 21 × 45/16 × 45 = 945/720 - Add the two like fractions:
512/720 + 945/720 = 512 + 945/720 = 1457/720 - So, 32/45 + 21/16 = 1457/720
In mixed form: 217/720
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 64/45+21/16 32/45+42/16 32/90+21/16 32/45+21/32 96/45+21/16 32/45+63/16 32/45+21/48 32/45+21/80