Add 75/40 and 10/14
1st number: 1 35/40, 2nd number: 10/14
75/40 + 10/14 is 145/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 14 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 14 × 20 = 280,
10/14 = 10 × 20/14 × 20 = 200/280 - Add the two like fractions:
525/280 + 200/280 = 525 + 200/280 = 725/280 - 725/280 simplified gives 145/56
- So, 75/40 + 10/14 = 145/56
In mixed form: 233/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/40+20/14 75/80+10/14 75/40+10/28 75/40+30/14 75/40+10/42 75/40+50/14 75/40+10/70 75/40+70/14 75/40+10/98