Add 40/9 and 27/49
1st number: 4 4/9, 2nd number: 27/49
40/9 + 27/49 is 2203/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 49 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 9 × 49 = 441,
40/9 = 40 × 49/9 × 49 = 1960/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
27/49 = 27 × 9/49 × 9 = 243/441 - Add the two like fractions:
1960/441 + 243/441 = 1960 + 243/441 = 2203/441 - So, 40/9 + 27/49 = 2203/441
In mixed form: 4439/441
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/9+27/49 40/9+54/49 40/18+27/49 40/9+27/98 40/9+81/49 40/27+27/49 40/45+27/49 40/63+27/49