Add 35/45 and 49/84
35/45 + 49/84 is 49/36.
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,
49/84 = 49 × 15/84 × 15 = 735/1260 - Add the two like fractions:
980/1260 + 735/1260 = 980 + 735/1260 = 1715/1260 - 1715/1260 simplified gives 49/36
- So, 35/45 + 49/84 = 49/36
In mixed form: 113/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/45+49/84 35/45+98/84 35/90+49/84