Add 45/4 and 40/27
1st number: 11 1/4, 2nd number: 1 13/27
45/4 + 40/27 is 1375/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
45/4 = 45 × 27/4 × 27 = 1215/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
40/27 = 40 × 4/27 × 4 = 160/108 - Add the two like fractions:
1215/108 + 160/108 = 1215 + 160/108 = 1375/108 - So, 45/4 + 40/27 = 1375/108
In mixed form: 1279/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/4+40/27 45/4+80/27 45/8+40/27 45/4+40/54 45/12+40/27 45/4+40/81 45/20+40/27 45/28+40/27