Add 28/14 and 75/40
1st number: 2 0/14, 2nd number: 1 35/40
28/14 + 75/40 is 31/8.
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,
28/14 = 28 × 20/14 × 20 = 560/280 - Likewise, for the 2nd fraction, since 40 × 7 = 280,
75/40 = 75 × 7/40 × 7 = 525/280 - Add the two like fractions:
560/280 + 525/280 = 560 + 525/280 = 1085/280 - 1085/280 simplified gives 31/8
- So, 28/14 + 75/40 = 31/8
In mixed form: 37/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/14+75/40 28/14+75/80 84/14+75/40 28/42+75/40 28/70+75/40 28/98+75/40