Add 35/45 and 28/84
35/45 + 28/84 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 84 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
35/45 = 35 × 28/45 × 28 = 980/1260 - Likewise, for the 2nd fraction, since 84 × 15 = 1260,
28/84 = 28 × 15/84 × 15 = 420/1260 - Add the two like fractions:
980/1260 + 420/1260 = 980 + 420/1260 = 1400/1260 - 1400/1260 simplified gives 10/9
- So, 35/45 + 28/84 = 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: 70/45+28/84 35/45+56/84 35/90+28/84