Add 14/16 and 9/21
14/16 + 9/21 is 73/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 21 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 16 × 21 = 336,
14/16 = 14 × 21/16 × 21 = 294/336 - Likewise, for the 2nd fraction, since 21 × 16 = 336,
9/21 = 9 × 16/21 × 16 = 144/336 - Add the two like fractions:
294/336 + 144/336 = 294 + 144/336 = 438/336 - 438/336 simplified gives 73/56
- So, 14/16 + 9/21 = 73/56
In mixed form: 117/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/16+9/21 14/16+18/21 14/32+9/21 14/16+9/42 42/16+9/21 14/16+27/21 14/48+9/21 14/16+9/63 70/16+9/21 14/16+45/21 14/80+9/21 98/16+9/21 14/16+63/21