Add 10/12 and 45/49
10/12 + 45/49 is 515/294.
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,
10/12 = 10 × 49/12 × 49 = 490/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
45/49 = 45 × 12/49 × 12 = 540/588 - Add the two like fractions:
490/588 + 540/588 = 490 + 540/588 = 1030/588 - 1030/588 simplified gives 515/294
- So, 10/12 + 45/49 = 515/294
In mixed form: 1221/294
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/12+45/49 10/12+90/49 10/24+45/49 10/12+45/98 30/12+45/49 10/36+45/49 50/12+45/49 10/60+45/49 70/12+45/49 10/84+45/49