Add 7/28 and 49/21
1st number: 7/28, 2nd number: 2 7/21
7/28 + 49/21 is 31/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 28 × 3 = 84,
7/28 = 7 × 3/28 × 3 = 21/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
49/21 = 49 × 4/21 × 4 = 196/84 - Add the two like fractions:
21/84 + 196/84 = 21 + 196/84 = 217/84 - 217/84 simplified gives 31/12
- So, 7/28 + 49/21 = 31/12
In mixed form: 27/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/28+49/21 7/28+98/21 7/56+49/21 7/28+49/42 21/28+49/21 7/84+49/21 7/28+49/63 35/28+49/21 49/28+49/21