Add 2/5 and 35/21
1st number: 2/5, 2nd number: 1 14/21
2/5 + 35/21 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,
2/5 = 2 × 21/5 × 21 = 42/105 - Likewise, for the 2nd fraction, since 21 × 5 = 105,
35/21 = 35 × 5/21 × 5 = 175/105 - Add the two like fractions:
42/105 + 175/105 = 42 + 175/105 = 217/105 - 217/105 simplified gives 31/15
- So, 2/5 + 35/21 = 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: 4/5+35/21 2/5+70/21 2/10+35/21 2/5+35/42 6/5+35/21 2/15+35/21 2/5+35/63 10/5+35/21 2/25+35/21 14/5+35/21 2/35+35/21