Add 35/4 and 14/7
1st number: 8 3/4, 2nd number: 2 0/7
35/4 + 14/7 is 43/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 7 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
35/4 = 35 × 7/4 × 7 = 245/28 - Likewise, for the 2nd fraction, since 7 × 4 = 28,
14/7 = 14 × 4/7 × 4 = 56/28 - Add the two like fractions:
245/28 + 56/28 = 245 + 56/28 = 301/28 - 301/28 simplified gives 43/4
- So, 35/4 + 14/7 = 43/4
In mixed form: 103/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/4+14/7 35/4+28/7 35/8+14/7 35/4+42/7 35/12+14/7 35/4+14/21 35/4+70/7 35/20+14/7 35/4+14/35 35/4+98/7 35/28+14/7 35/4+14/49