Add 42/16 and 21/28
1st number: 2 10/16, 2nd number: 21/28
42/16 + 21/28 is 27/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 28 is 112
Next, find the equivalent fraction of both fractional numbers with denominator 112 - For the 1st fraction, since 16 × 7 = 112,
42/16 = 42 × 7/16 × 7 = 294/112 - Likewise, for the 2nd fraction, since 28 × 4 = 112,
21/28 = 21 × 4/28 × 4 = 84/112 - Add the two like fractions:
294/112 + 84/112 = 294 + 84/112 = 378/112 - 378/112 simplified gives 27/8
- So, 42/16 + 21/28 = 27/8
In mixed form: 33/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/16+21/28 42/16+42/28 42/32+21/28 42/16+21/56 42/16+63/28 42/48+21/28 42/16+21/84 42/80+21/28