Add 35/4 and 21/14
1st number: 8 3/4, 2nd number: 1 7/14
35/4 + 21/14 is 41/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 14 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 14 × 2 = 28,
21/14 = 21 × 2/14 × 2 = 42/28 - Add the two like fractions:
245/28 + 42/28 = 245 + 42/28 = 287/28 - 287/28 simplified gives 41/4
- So, 35/4 + 21/14 = 41/4
In mixed form: 101/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/4+21/14 35/4+42/14 35/8+21/14 35/4+21/28 35/4+63/14 35/12+21/14 35/4+21/42 35/20+21/14 35/4+21/70 35/28+21/14 35/4+21/98