Add 7/5 and 14/21
1st number: 1 2/5, 2nd number: 14/21
7/5 + 14/21 is 31/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 21 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 5 × 21 = 105,
7/5 = 7 × 21/5 × 21 = 147/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
14/21 = 14 × 5/21 × 5 = 70/105 - Add the two like fractions:
147/105 + 70/105 = 147 + 70/105 = 217/105 - 217/105 simplified gives 31/15
- So, 7/5 + 14/21 = 31/15
In mixed form: 21/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/5+14/21 7/5+28/21 7/10+14/21 7/5+14/42 21/5+14/21 7/5+42/21 7/15+14/21 7/5+14/63 35/5+14/21 7/5+70/21 7/25+14/21 49/5+14/21 7/5+98/21 7/35+14/21