Add 20/75 and 42/27
1st number: 20/75, 2nd number: 1 15/27
20/75 + 42/27 is 82/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 27 is 675
Next, find the equivalent fraction of both fractional numbers with denominator 675 - For the 1st fraction, since 75 × 9 = 675,
20/75 = 20 × 9/75 × 9 = 180/675 - Likewise, for the 2nd fraction, since 27 × 25 = 675,
42/27 = 42 × 25/27 × 25 = 1050/675 - Add the two like fractions:
180/675 + 1050/675 = 180 + 1050/675 = 1230/675 - 1230/675 simplified gives 82/45
- So, 20/75 + 42/27 = 82/45
In mixed form: 137/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/75+42/27 20/75+84/27 20/75+42/54 60/75+42/27 20/75+42/81