Add 30/21 and 35/16
1st number: 1 9/21, 2nd number: 2 3/16
30/21 + 35/16 is 405/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 21 × 16 = 336,
30/21 = 30 × 16/21 × 16 = 480/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
35/16 = 35 × 21/16 × 21 = 735/336 - Add the two like fractions:
480/336 + 735/336 = 480 + 735/336 = 1215/336 - 1215/336 simplified gives 405/112
- So, 30/21 + 35/16 = 405/112
In mixed form: 369/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/21+35/16 30/21+70/16 30/42+35/16 30/21+35/32 90/21+35/16 30/63+35/16 30/21+35/48 30/21+35/80