Add 40/12 and 14/49
1st number: 3 4/12, 2nd number: 14/49
40/12 + 14/49 is 76/21.
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,
40/12 = 40 × 49/12 × 49 = 1960/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
14/49 = 14 × 12/49 × 12 = 168/588 - Add the two like fractions:
1960/588 + 168/588 = 1960 + 168/588 = 2128/588 - 2128/588 simplified gives 76/21
- So, 40/12 + 14/49 = 76/21
In mixed form: 313/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/12+14/49 40/12+28/49 40/24+14/49 40/12+14/98 40/12+42/49 40/36+14/49 40/12+70/49 40/60+14/49 40/12+98/49 40/84+14/49