Add 45/4 and 21/49
1st number: 11 1/4, 2nd number: 21/49
45/4 + 21/49 is 327/28.
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,
45/4 = 45 × 49/4 × 49 = 2205/196 - Likewise, for the 2nd fraction, since 49 × 4 = 196,
21/49 = 21 × 4/49 × 4 = 84/196 - Add the two like fractions:
2205/196 + 84/196 = 2205 + 84/196 = 2289/196 - 2289/196 simplified gives 327/28
- So, 45/4 + 21/49 = 327/28
In mixed form: 1119/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/4+21/49 45/4+42/49 45/8+21/49 45/4+21/98 45/4+63/49 45/12+21/49 45/20+21/49 45/28+21/49