Add 75/40 and 35/28
1st number: 1 35/40, 2nd number: 1 7/28
75/40 + 35/28 is 25/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 28 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 40 × 7 = 280,
75/40 = 75 × 7/40 × 7 = 525/280 - Likewise, for the 2nd fraction, since 28 × 10 = 280,
35/28 = 35 × 10/28 × 10 = 350/280 - Add the two like fractions:
525/280 + 350/280 = 525 + 350/280 = 875/280 - 875/280 simplified gives 25/8
- So, 75/40 + 35/28 = 25/8
In mixed form: 31/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/40+70/28 75/80+35/28 75/40+35/56 75/40+35/84