Add 42/9 and 21/16
1st number: 4 6/9, 2nd number: 1 5/16
42/9 + 21/16 is 287/48.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
42/9 = 42 × 16/9 × 16 = 672/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
21/16 = 21 × 9/16 × 9 = 189/144 - Add the two like fractions:
672/144 + 189/144 = 672 + 189/144 = 861/144 - 861/144 simplified gives 287/48
- So, 42/9 + 21/16 = 287/48
In mixed form: 547/48
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/9+21/16 42/9+42/16 42/18+21/16 42/9+21/32 42/9+63/16 42/27+21/16 42/9+21/48 42/45+21/16 42/9+21/80 42/63+21/16