Add 72/27 and 20/75
1st number: 2 18/27, 2nd number: 20/75
72/27 + 20/75 is 44/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 75 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 27 × 25 = 675,
72/27 = 72 × 25/27 × 25 = 1800/675 - Likewise, for the 2nd fraction, since 75 × 9 = 675,
20/75 = 20 × 9/75 × 9 = 180/675 - Add the two like fractions:
1800/675 + 180/675 = 1800 + 180/675 = 1980/675 - 1980/675 simplified gives 44/15
- So, 72/27 + 20/75 = 44/15
In mixed form: 214/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/27+40/75 72/54+20/75 72/27+60/75 72/81+20/75