Add 16/9 and 49/84
1st number: 1 7/9, 2nd number: 49/84
16/9 + 49/84 is 85/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 84 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 9 × 28 = 252,
16/9 = 16 × 28/9 × 28 = 448/252 - Likewise, for the 2nd fraction, since 84 × 3 = 252,
49/84 = 49 × 3/84 × 3 = 147/252 - Add the two like fractions:
448/252 + 147/252 = 448 + 147/252 = 595/252 - 595/252 simplified gives 85/36
- So, 16/9 + 49/84 = 85/36
In mixed form: 213/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/9+49/84 16/9+98/84 16/18+49/84 48/9+49/84 16/27+49/84 80/9+49/84 16/45+49/84 16/63+49/84