Add 35/4 and 4/7
1st number: 8 3/4, 2nd number: 4/7
35/4 + 4/7 is 261/28.
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,
4/7 = 4 × 4/7 × 4 = 16/28 - Add the two like fractions:
245/28 + 16/28 = 245 + 16/28 = 261/28 - So, 35/4 + 4/7 = 261/28
In mixed form: 99/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/4+4/7 35/4+8/7 35/8+4/7 35/4+4/14 35/4+12/7 35/12+4/7 35/4+4/21 35/4+20/7 35/20+4/7 35/4+4/35 35/4+28/7 35/28+4/7 35/4+4/49