Add 21/42 and 14/16
21/42 + 14/16 is 11/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 16 is 336
Next, find the equivalent fraction of both fractional numbers with denominator 336 - For the 1st fraction, since 42 × 8 = 336,
21/42 = 21 × 8/42 × 8 = 168/336 - Likewise, for the 2nd fraction, since 16 × 21 = 336,
14/16 = 14 × 21/16 × 21 = 294/336 - Add the two like fractions:
168/336 + 294/336 = 168 + 294/336 = 462/336 - 462/336 simplified gives 11/8
- So, 21/42 + 14/16 = 11/8
In mixed form: 13/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 21/42+28/16 21/84+14/16 21/42+14/32 63/42+14/16 21/42+42/16 21/42+14/48 21/42+70/16 21/42+14/80 21/42+98/16