Add 49/4 and 7/21
1st number: 12 1/4, 2nd number: 7/21
49/4 + 7/21 is 151/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
49/4 = 49 × 21/4 × 21 = 1029/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
7/21 = 7 × 4/21 × 4 = 28/84 - Add the two like fractions:
1029/84 + 28/84 = 1029 + 28/84 = 1057/84 - 1057/84 simplified gives 151/12
- So, 49/4 + 7/21 = 151/12
In mixed form: 127/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/4+7/21 49/4+14/21 49/8+7/21 49/4+7/42 49/12+7/21 49/4+7/63 49/4+35/21 49/20+7/21 49/4+49/21 49/28+7/21