Add 75/40 and 40/28
1st number: 1 35/40, 2nd number: 1 12/28
75/40 + 40/28 is 185/56.
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,
40/28 = 40 × 10/28 × 10 = 400/280 - Add the two like fractions:
525/280 + 400/280 = 525 + 400/280 = 925/280 - 925/280 simplified gives 185/56
- So, 75/40 + 40/28 = 185/56
In mixed form: 317/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/40+80/28 75/80+40/28 75/40+40/56 75/40+40/84