Add 7/2 and 21/7
1st number: 3 1/2, 2nd number: 3 0/7
7/2 + 21/7 is 13/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 7 is 14
Next, find the equivalent fraction of both fractional numbers with denominator 14 - For the 1st fraction, since 2 × 7 = 14,
7/2 = 7 × 7/2 × 7 = 49/14 - Likewise, for the 2nd fraction, since 7 × 2 = 14,
21/7 = 21 × 2/7 × 2 = 42/14 - Add the two like fractions:
49/14 + 42/14 = 49 + 42/14 = 91/14 - 91/14 simplified gives 13/2
- So, 7/2 + 21/7 = 13/2
In mixed form: 61/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/2+21/7 7/2+42/7 7/4+21/7 7/2+21/14 21/2+21/7 7/2+63/7 7/6+21/7 35/2+21/7 7/10+21/7 7/2+21/35 49/2+21/7 7/14+21/7 7/2+21/49