Add 84/21 and 30/27
1st number: 4 0/21, 2nd number: 1 3/27
84/21 + 30/27 is 46/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 21 × 9 = 189,
84/21 = 84 × 9/21 × 9 = 756/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
30/27 = 30 × 7/27 × 7 = 210/189 - Add the two like fractions:
756/189 + 210/189 = 756 + 210/189 = 966/189 - 966/189 simplified gives 46/9
- So, 84/21 + 30/27 = 46/9
In mixed form: 51/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/21+60/27 84/42+30/27 84/21+30/54 84/21+90/27 84/63+30/27 84/21+30/81