Add 4/12 and 35/49
4/12 + 35/49 is 22/21.
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,
4/12 = 4 × 49/12 × 49 = 196/588 - Likewise, for the 2nd fraction, since 49 × 12 = 588,
35/49 = 35 × 12/49 × 12 = 420/588 - Add the two like fractions:
196/588 + 420/588 = 196 + 420/588 = 616/588 - 616/588 simplified gives 22/21
- So, 4/12 + 35/49 = 22/21
In mixed form: 11/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/12+35/49 4/12+70/49 4/24+35/49 4/12+35/98 4/36+35/49 20/12+35/49 4/60+35/49 28/12+35/49 4/84+35/49