Add 18/35 and 14/20
18/35 + 14/20 is 17/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 20 is 140
Next, find the equivalent fraction of both fractional numbers with denominator 140 - For the 1st fraction, since 35 × 4 = 140,
18/35 = 18 × 4/35 × 4 = 72/140 - Likewise, for the 2nd fraction, since 20 × 7 = 140,
14/20 = 14 × 7/20 × 7 = 98/140 - Add the two like fractions:
72/140 + 98/140 = 72 + 98/140 = 170/140 - 170/140 simplified gives 17/14
- So, 18/35 + 14/20 = 17/14
In mixed form: 13/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/35+14/20 18/35+28/20 18/70+14/20 18/35+14/40 54/35+14/20 18/35+42/20 18/35+14/60 90/35+14/20 18/35+70/20 18/35+98/20