Add 40/27 and 9/42
1st number: 1 13/27, 2nd number: 9/42
40/27 + 9/42 is 641/378.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
40/27 = 40 × 14/27 × 14 = 560/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
9/42 = 9 × 9/42 × 9 = 81/378 - Add the two like fractions:
560/378 + 81/378 = 560 + 81/378 = 641/378 - So, 40/27 + 9/42 = 641/378
In mixed form: 1263/378
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/27+9/42 40/27+18/42 40/54+9/42 40/27+9/84 40/27+27/42 40/81+9/42 40/27+45/42 40/27+63/42