Add 15/40 and 35/14
1st number: 15/40, 2nd number: 2 7/14
15/40 + 35/14 is 23/8.
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,
15/40 = 15 × 7/40 × 7 = 105/280 - Likewise, for the 2nd fraction, since 14 × 20 = 280,
35/14 = 35 × 20/14 × 20 = 700/280 - Add the two like fractions:
105/280 + 700/280 = 105 + 700/280 = 805/280 - 805/280 simplified gives 23/8
- So, 15/40 + 35/14 = 23/8
In mixed form: 27/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 30/40+35/14 15/40+70/14 15/80+35/14 15/40+35/28 45/40+35/14 15/40+35/42 75/40+35/14 15/40+35/70 15/40+35/98