Add 27/84 and 21/30
27/84 + 21/30 is 143/140.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 84 and 30 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 30 × 14 = 420,
21/30 = 21 × 14/30 × 14 = 294/420 - Add the two like fractions:
135/420 + 294/420 = 135 + 294/420 = 429/420 - 429/420 simplified gives 143/140
- So, 27/84 + 21/30 = 143/140
In mixed form: 13/140
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/84+21/30 27/84+42/30 27/84+21/60 81/84+21/30 27/84+63/30 27/84+21/90