Add 10/9 and 49/48
1st number: 1 1/9, 2nd number: 1 1/48
10/9 + 49/48 is 307/144.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 48 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
10/9 = 10 × 16/9 × 16 = 160/144 - Likewise, for the 2nd fraction, since 48 × 3 = 144,
49/48 = 49 × 3/48 × 3 = 147/144 - Add the two like fractions:
160/144 + 147/144 = 160 + 147/144 = 307/144 - So, 10/9 + 49/48 = 307/144
In mixed form: 219/144
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/9+49/48 10/9+98/48 10/18+49/48 10/9+49/96 30/9+49/48 10/27+49/48 50/9+49/48 10/45+49/48 70/9+49/48 10/63+49/48