Add 75/40 and 10/7
1st number: 1 35/40, 2nd number: 1 3/7
75/40 + 10/7 is 185/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 7 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 7 × 40 = 280,
10/7 = 10 × 40/7 × 40 = 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 + 10/7 = 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+20/7 75/80+10/7 75/40+10/14 75/40+30/7 75/40+10/21 75/40+50/7 75/40+10/35 75/40+70/7 75/40+10/49