Add 72/27 and 45/42
1st number: 2 18/27, 2nd number: 1 3/42
72/27 + 45/42 is 157/42.
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,
72/27 = 72 × 14/27 × 14 = 1008/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
45/42 = 45 × 9/42 × 9 = 405/378 - Add the two like fractions:
1008/378 + 405/378 = 1008 + 405/378 = 1413/378 - 1413/378 simplified gives 157/42
- So, 72/27 + 45/42 = 157/42
In mixed form: 331/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/27+90/42 72/54+45/42 72/27+45/84 72/81+45/42