Add 27/40 and 35/75
27/40 + 35/75 is 137/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 75 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 40 × 15 = 600,
27/40 = 27 × 15/40 × 15 = 405/600 - Likewise, for the 2nd fraction, since 75 × 8 = 600,
35/75 = 35 × 8/75 × 8 = 280/600 - Add the two like fractions:
405/600 + 280/600 = 405 + 280/600 = 685/600 - 685/600 simplified gives 137/120
- So, 27/40 + 35/75 = 137/120
In mixed form: 117/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/40+35/75 27/40+70/75 27/80+35/75 81/40+35/75