Add 35/75 and 35/40
35/75 + 35/40 is 161/120.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 40 is 600
Next, find the equivalent fraction of both fractional numbers with denominator 600 - For the 1st fraction, since 75 × 8 = 600,
35/75 = 35 × 8/75 × 8 = 280/600 - Likewise, for the 2nd fraction, since 40 × 15 = 600,
35/40 = 35 × 15/40 × 15 = 525/600 - Add the two like fractions:
280/600 + 525/600 = 280 + 525/600 = 805/600 - 805/600 simplified gives 161/120
- So, 35/75 + 35/40 = 161/120
In mixed form: 141/120
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/75+35/40 35/75+70/40 35/75+35/80