Add 40/45 and 27/16
1st number: 40/45, 2nd number: 1 11/16
40/45 + 27/16 is 371/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 16 is 720
Next, find the equivalent fraction of both fractional numbers with denominator 720 - For the 1st fraction, since 45 × 16 = 720,
40/45 = 40 × 16/45 × 16 = 640/720 - Likewise, for the 2nd fraction, since 16 × 45 = 720,
27/16 = 27 × 45/16 × 45 = 1215/720 - Add the two like fractions:
640/720 + 1215/720 = 640 + 1215/720 = 1855/720 - 1855/720 simplified gives 371/144
- So, 40/45 + 27/16 = 371/144
In mixed form: 283/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/45+27/16 40/45+54/16 40/90+27/16 40/45+27/32 40/45+81/16 40/45+27/48 40/45+27/80