Add 21/14 and 9/16
1st number: 1 7/14, 2nd number: 9/16
21/14 + 9/16 is 33/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 16 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 14 × 8 = 112,
21/14 = 21 × 8/14 × 8 = 168/112 - Likewise, for the 2nd fraction, since 16 × 7 = 112,
9/16 = 9 × 7/16 × 7 = 63/112 - Add the two like fractions:
168/112 + 63/112 = 168 + 63/112 = 231/112 - 231/112 simplified gives 33/16
- So, 21/14 + 9/16 = 33/16
In mixed form: 21/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/14+9/16 21/14+18/16 21/28+9/16 21/14+9/32 63/14+9/16 21/14+27/16 21/42+9/16 21/14+9/48 21/14+45/16 21/70+9/16 21/14+9/80 21/14+63/16 21/98+9/16