Add 7/3 and 35/49
1st number: 2 1/3, 2nd number: 35/49
7/3 + 35/49 is 64/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 49 is 147
Next, find the equivalent fraction of both fractional numbers with denominator 147 - For the 1st fraction, since 3 × 49 = 147,
7/3 = 7 × 49/3 × 49 = 343/147 - Likewise, for the 2nd fraction, since 49 × 3 = 147,
35/49 = 35 × 3/49 × 3 = 105/147 - Add the two like fractions:
343/147 + 105/147 = 343 + 105/147 = 448/147 - 448/147 simplified gives 64/21
- So, 7/3 + 35/49 = 64/21
In mixed form: 31/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/3+35/49 7/3+70/49 7/6+35/49 7/3+35/98 21/3+35/49 7/9+35/49 35/3+35/49 7/15+35/49 49/3+35/49 7/21+35/49