Add 20/12 and 45/27
1st number: 1 8/12, 2nd number: 1 18/27
20/12 + 45/27 is 10/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 12 × 9 = 108,
20/12 = 20 × 9/12 × 9 = 180/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
45/27 = 45 × 4/27 × 4 = 180/108 - Add the two like fractions:
180/108 + 180/108 = 180 + 180/108 = 360/108 - 360/108 simplified gives 10/3
- So, 20/12 + 45/27 = 10/3
In mixed form: 31/3
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/12+45/27 20/12+90/27 20/24+45/27 20/12+45/54 60/12+45/27 20/36+45/27 20/12+45/81 20/60+45/27 20/84+45/27