Add 40/42 and 72/27
1st number: 40/42, 2nd number: 2 18/27
40/42 + 72/27 is 76/21.
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,
40/42 = 40 × 9/42 × 9 = 360/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
72/27 = 72 × 14/27 × 14 = 1008/378 - Add the two like fractions:
360/378 + 1008/378 = 360 + 1008/378 = 1368/378 - 1368/378 simplified gives 76/21
- So, 40/42 + 72/27 = 76/21
In mixed form: 313/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/42+72/27 40/84+72/27 40/42+72/54 40/42+72/81