Add 40/49 and 2/9
40/49 + 2/9 is 458/441.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 9 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 49 × 9 = 441,
40/49 = 40 × 9/49 × 9 = 360/441 - Likewise, for the 2nd fraction, since 9 × 49 = 441,
2/9 = 2 × 49/9 × 49 = 98/441 - Add the two like fractions:
360/441 + 98/441 = 360 + 98/441 = 458/441 - So, 40/49 + 2/9 = 458/441
In mixed form: 117/441
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/49+2/9 40/49+4/9 40/98+2/9 40/49+2/18 40/49+6/9 40/49+2/27 40/49+10/9 40/49+2/45 40/49+14/9 40/49+2/63