Add 4/42 and 28/27
1st number: 4/42, 2nd number: 1 1/27
4/42 + 28/27 is 214/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
4/42 = 4 × 9/42 × 9 = 36/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
28/27 = 28 × 14/27 × 14 = 392/378 - Add the two like fractions:
36/378 + 392/378 = 36 + 392/378 = 428/378 - 428/378 simplified gives 214/189
- So, 4/42 + 28/27 = 214/189
In mixed form: 125/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/42+28/27 4/42+56/27 4/84+28/27 4/42+28/54 12/42+28/27 4/42+84/27 4/42+28/81 20/42+28/27 28/42+28/27