Add 28/35 and 14/45
28/35 + 14/45 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 45 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
28/35 = 28 × 9/35 × 9 = 252/315 - Likewise, for the 2nd fraction, since 45 × 7 = 315,
14/45 = 14 × 7/45 × 7 = 98/315 - Add the two like fractions:
252/315 + 98/315 = 252 + 98/315 = 350/315 - 350/315 simplified gives 10/9
- So, 28/35 + 14/45 = 10/9
In mixed form: 11/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/35+14/45 28/35+28/45 28/70+14/45 28/35+14/90 84/35+14/45 28/35+42/45 28/35+70/45 28/35+98/45