Add 2/5 and 42/21
1st number: 2/5, 2nd number: 2 0/21
2/5 + 42/21 is 12/5.
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,
42/21 = 42 × 5/21 × 5 = 210/105 - Add the two like fractions:
42/105 + 210/105 = 42 + 210/105 = 252/105 - 252/105 simplified gives 12/5
- So, 2/5 + 42/21 = 12/5
In mixed form: 22/5
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/5+42/21 2/5+84/21 2/10+42/21 6/5+42/21 2/15+42/21 2/5+42/63 10/5+42/21 2/25+42/21 14/5+42/21 2/35+42/21