Add 21/24 and 35/16
1st number: 21/24, 2nd number: 2 3/16
21/24 + 35/16 is 49/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 24 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 24 × 2 = 48,
21/24 = 21 × 2/24 × 2 = 42/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
35/16 = 35 × 3/16 × 3 = 105/48 - Add the two like fractions:
42/48 + 105/48 = 42 + 105/48 = 147/48 - 147/48 simplified gives 49/16
- So, 21/24 + 35/16 = 49/16
In mixed form: 31/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/24+35/16 21/24+70/16 21/48+35/16 21/24+35/32 63/24+35/16 21/72+35/16 21/24+35/48 21/24+35/80