Add 10/4 and 21/49
1st number: 2 2/4, 2nd number: 21/49
10/4 + 21/49 is 41/14.
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,
10/4 = 10 × 49/4 × 49 = 490/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
21/49 = 21 × 4/49 × 4 = 84/196 - Add the two like fractions:
490/196 + 84/196 = 490 + 84/196 = 574/196 - 574/196 simplified gives 41/14
- So, 10/4 + 21/49 = 41/14
In mixed form: 213/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/4+21/49 10/4+42/49 10/8+21/49 10/4+21/98 30/4+21/49 10/4+63/49 10/12+21/49 50/4+21/49 10/20+21/49 70/4+21/49 10/28+21/49