Add 20/12 and 49/35
1st number: 1 8/12, 2nd number: 1 14/35
20/12 + 49/35 is 46/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 35 is 420
Next, find the equivalent fraction of both fractional numbers with denominator 420 - For the 1st fraction, since 12 × 35 = 420,
20/12 = 20 × 35/12 × 35 = 700/420 - Likewise, for the 2nd fraction, since 35 × 12 = 420,
49/35 = 49 × 12/35 × 12 = 588/420 - Add the two like fractions:
700/420 + 588/420 = 700 + 588/420 = 1288/420 - 1288/420 simplified gives 46/15
- So, 20/12 + 49/35 = 46/15
In mixed form: 31/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 40/12+49/35 20/12+98/35 20/24+49/35 20/12+49/70 60/12+49/35 20/36+49/35 20/60+49/35 20/84+49/35