Add 7/3 and 49/14
1st number: 2 1/3, 2nd number: 3 7/14
7/3 + 49/14 is 35/6.
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,
7/3 = 7 × 14/3 × 14 = 98/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
49/14 = 49 × 3/14 × 3 = 147/42 - Add the two like fractions:
98/42 + 147/42 = 98 + 147/42 = 245/42 - 245/42 simplified gives 35/6
- So, 7/3 + 49/14 = 35/6
In mixed form: 55/6
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/3+49/14 7/3+98/14 7/6+49/14 7/3+49/28 21/3+49/14 7/9+49/14 7/3+49/42 35/3+49/14 7/15+49/14 7/3+49/70 49/3+49/14 7/21+49/14 7/3+49/98