Add 35/4 and 21/49
1st number: 8 3/4, 2nd number: 21/49
35/4 + 21/49 is 257/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 49 is 196
Next, find the equivalent fraction of both fractional numbers with denominator 196 - For the 1st fraction, since 4 × 49 = 196,
35/4 = 35 × 49/4 × 49 = 1715/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
21/49 = 21 × 4/49 × 4 = 84/196 - Add the two like fractions:
1715/196 + 84/196 = 1715 + 84/196 = 1799/196 - 1799/196 simplified gives 257/28
- So, 35/4 + 21/49 = 257/28
In mixed form: 95/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/4+21/49 35/4+42/49 35/8+21/49 35/4+21/98 35/4+63/49 35/12+21/49 35/20+21/49 35/28+21/49