Add 1/27 and 28/21
1st number: 1/27, 2nd number: 1 7/21
1/27 + 28/21 is 37/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
1/27 = 1 × 7/27 × 7 = 7/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
28/21 = 28 × 9/21 × 9 = 252/189 - Add the two like fractions:
7/189 + 252/189 = 7 + 252/189 = 259/189 - 259/189 simplified gives 37/27
- So, 1/27 + 28/21 = 37/27
In mixed form: 110/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/27+28/21 1/27+56/21 1/54+28/21 1/27+28/42 3/27+28/21 1/27+84/21 1/81+28/21 1/27+28/63 5/27+28/21 7/27+28/21