Add 75/27 and 12/18
1st number: 2 21/27, 2nd number: 12/18
75/27 + 12/18 is 31/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 18 is 54
Next, find the equivalent fraction of both fractional numbers with denominator 54 - For the 1st fraction, since 27 × 2 = 54,
75/27 = 75 × 2/27 × 2 = 150/54 - Likewise, for the 2nd fraction, since 18 × 3 = 54,
12/18 = 12 × 3/18 × 3 = 36/54 - Add the two like fractions:
150/54 + 36/54 = 150 + 36/54 = 186/54 - 186/54 simplified gives 31/9
- So, 75/27 + 12/18 = 31/9
In mixed form: 34/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/27+24/18 75/54+12/18 75/27+12/36 75/27+36/18 75/81+12/18 75/27+12/54 75/27+60/18 75/27+12/90 75/27+84/18