Add 21/12 and 49/28
1st number: 1 9/12, 2nd number: 1 21/28
21/12 + 49/28 is 7/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 28 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
21/12 = 21 × 7/12 × 7 = 147/84 - Likewise, for the 2nd fraction, since 28 × 3 = 84,
49/28 = 49 × 3/28 × 3 = 147/84 - Add the two like fractions:
147/84 + 147/84 = 147 + 147/84 = 294/84 - 294/84 simplified gives 7/2
- So, 21/12 + 49/28 = 7/2
In mixed form: 31/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/12+49/28 21/12+98/28 21/24+49/28 21/12+49/56 63/12+49/28 21/36+49/28 21/12+49/84 21/60+49/28 21/84+49/28