Add 49/42 and 40/27
1st number: 1 7/42, 2nd number: 1 13/27
49/42 + 40/27 is 143/54.
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,
49/42 = 49 × 9/42 × 9 = 441/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
40/27 = 40 × 14/27 × 14 = 560/378 - Add the two like fractions:
441/378 + 560/378 = 441 + 560/378 = 1001/378 - 1001/378 simplified gives 143/54
- So, 49/42 + 40/27 = 143/54
In mixed form: 235/54
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/42+40/27 49/42+80/27 49/84+40/27 49/42+40/54 49/42+40/81