Add 12/5 and 21/84
1st number: 2 2/5, 2nd number: 21/84
12/5 + 21/84 is 53/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 84 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 5 × 84 = 420,
12/5 = 12 × 84/5 × 84 = 1008/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
21/84 = 21 × 5/84 × 5 = 105/420 - Add the two like fractions:
1008/420 + 105/420 = 1008 + 105/420 = 1113/420 - 1113/420 simplified gives 53/20
- So, 12/5 + 21/84 = 53/20
In mixed form: 213/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/5+21/84 12/5+42/84 12/10+21/84 36/5+21/84 12/5+63/84 12/15+21/84 60/5+21/84 12/25+21/84 84/5+21/84 12/35+21/84