Add 15/14 and 75/40
1st number: 1 1/14, 2nd number: 1 35/40
15/14 + 75/40 is 165/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 40 is 280
Next, find the equivalent fraction of both fractional numbers with denominator 280 - For the 1st fraction, since 14 × 20 = 280,
15/14 = 15 × 20/14 × 20 = 300/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
75/40 = 75 × 7/40 × 7 = 525/280 - Add the two like fractions:
300/280 + 525/280 = 300 + 525/280 = 825/280 - 825/280 simplified gives 165/56
- So, 15/14 + 75/40 = 165/56
In mixed form: 253/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 30/14+75/40 15/28+75/40 15/14+75/80 45/14+75/40 15/42+75/40 75/14+75/40 15/70+75/40 15/98+75/40