Add 30/42 and 36/27
1st number: 30/42, 2nd number: 1 9/27
30/42 + 36/27 is 43/21.
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,
30/42 = 30 × 9/42 × 9 = 270/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
36/27 = 36 × 14/27 × 14 = 504/378 - Add the two like fractions:
270/378 + 504/378 = 270 + 504/378 = 774/378 - 774/378 simplified gives 43/21
- So, 30/42 + 36/27 = 43/21
In mixed form: 21/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/42+36/27 30/42+72/27 30/84+36/27 30/42+36/54 90/42+36/27 30/42+36/81