Add 1/27 and 45/40
1st number: 1/27, 2nd number: 1 5/40
1/27 + 45/40 is 251/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 27 × 40 = 1080,
1/27 = 1 × 40/27 × 40 = 40/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
45/40 = 45 × 27/40 × 27 = 1215/1080 - Add the two like fractions:
40/1080 + 1215/1080 = 40 + 1215/1080 = 1255/1080 - 1255/1080 simplified gives 251/216
- So, 1/27 + 45/40 = 251/216
In mixed form: 135/216
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/27+45/40 1/27+90/40 1/54+45/40 1/27+45/80 3/27+45/40 1/81+45/40 5/27+45/40 7/27+45/40