Add 27/5 and 21/84
1st number: 5 2/5, 2nd number: 21/84
27/5 + 21/84 is 113/20.
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,
27/5 = 27 × 84/5 × 84 = 2268/420 - Likewise, for the 2nd fraction, since 84 × 5 = 420,
21/84 = 21 × 5/84 × 5 = 105/420 - Add the two like fractions:
2268/420 + 105/420 = 2268 + 105/420 = 2373/420 - 2373/420 simplified gives 113/20
- So, 27/5 + 21/84 = 113/20
In mixed form: 513/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/5+21/84 27/5+42/84 27/10+21/84 81/5+21/84 27/5+63/84 27/15+21/84 27/25+21/84 27/35+21/84