Add 8/3 and 49/14
1st number: 2 2/3, 2nd number: 3 7/14
8/3 + 49/14 is 37/6.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
8/3 = 8 × 14/3 × 14 = 112/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
49/14 = 49 × 3/14 × 3 = 147/42 - Add the two like fractions:
112/42 + 147/42 = 112 + 147/42 = 259/42 - 259/42 simplified gives 37/6
- So, 8/3 + 49/14 = 37/6
In mixed form: 61/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/3+49/14 8/3+98/14 8/6+49/14 8/3+49/28 24/3+49/14 8/9+49/14 8/3+49/42 40/3+49/14 8/15+49/14 8/3+49/70 56/3+49/14 8/21+49/14 8/3+49/98