Add 72/27 and 90/42
1st number: 2 18/27, 2nd number: 2 6/42
72/27 + 90/42 is 101/21.
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,
90/42 = 90 × 9/42 × 9 = 810/378 - Add the two like fractions:
1008/378 + 810/378 = 1008 + 810/378 = 1818/378 - 1818/378 simplified gives 101/21
- So, 72/27 + 90/42 = 101/21
In mixed form: 417/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/54+90/42 72/27+90/84 72/81+90/42