Add 9/12 and 40/49
9/12 + 40/49 is 307/196.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 49 is 588
Next, find the equivalent fraction of both fractional numbers with denominator 588 - For the 1st fraction, since 12 × 49 = 588,
9/12 = 9 × 49/12 × 49 = 441/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
40/49 = 40 × 12/49 × 12 = 480/588 - Add the two like fractions:
441/588 + 480/588 = 441 + 480/588 = 921/588 - 921/588 simplified gives 307/196
- So, 9/12 + 40/49 = 307/196
In mixed form: 1111/196
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/12+40/49 9/12+80/49 9/24+40/49 9/12+40/98 27/12+40/49 9/36+40/49 45/12+40/49 9/60+40/49 63/12+40/49 9/84+40/49