Add 4/9 and 49/4
1st number: 4/9, 2nd number: 12 1/4
4/9 + 49/4 is 457/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 4 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 9 × 4 = 36,
4/9 = 4 × 4/9 × 4 = 16/36 - Likewise, for the 2nd fraction, since 4 × 9 = 36,
49/4 = 49 × 9/4 × 9 = 441/36 - Add the two like fractions:
16/36 + 441/36 = 16 + 441/36 = 457/36 - So, 4/9 + 49/4 = 457/36
In mixed form: 1225/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+49/4 4/9+98/4 4/18+49/4 4/9+49/8 12/9+49/4 4/27+49/4 4/9+49/12 20/9+49/4 4/45+49/4 4/9+49/20 28/9+49/4 4/63+49/4 4/9+49/28