Add 27/84 and 21/10
1st number: 27/84, 2nd number: 2 1/10
27/84 + 21/10 is 339/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 10 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 84 × 5 = 420,
27/84 = 27 × 5/84 × 5 = 135/420 - Likewise, for the 2nd fraction, since 10 × 42 = 420,
21/10 = 21 × 42/10 × 42 = 882/420 - Add the two like fractions:
135/420 + 882/420 = 135 + 882/420 = 1017/420 - 1017/420 simplified gives 339/140
- So, 27/84 + 21/10 = 339/140
In mixed form: 259/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/84+21/10 27/84+42/10 27/84+21/20 81/84+21/10 27/84+63/10 27/84+21/30 27/84+21/50 27/84+21/70