Add 7/2 and 14/21
1st number: 3 1/2, 2nd number: 14/21
7/2 + 14/21 is 25/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 2 × 21 = 42,
7/2 = 7 × 21/2 × 21 = 147/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
14/21 = 14 × 2/21 × 2 = 28/42 - Add the two like fractions:
147/42 + 28/42 = 147 + 28/42 = 175/42 - 175/42 simplified gives 25/6
- So, 7/2 + 14/21 = 25/6
In mixed form: 41/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/2+14/21 7/2+28/21 7/4+14/21 7/2+14/42 21/2+14/21 7/2+42/21 7/6+14/21 7/2+14/63 35/2+14/21 7/2+70/21 7/10+14/21 49/2+14/21 7/2+98/21 7/14+14/21