Add 28/35 and 14/49
28/35 + 14/49 is 38/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
28/35 = 28 × 7/35 × 7 = 196/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
14/49 = 14 × 5/49 × 5 = 70/245 - Add the two like fractions:
196/245 + 70/245 = 196 + 70/245 = 266/245 - 266/245 simplified gives 38/35
- So, 28/35 + 14/49 = 38/35
In mixed form: 13/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/35+14/49 28/35+28/49 28/70+14/49 28/35+14/98 84/35+14/49 28/35+42/49 28/35+70/49 28/35+98/49