Add 49/21 and 35/18
1st number: 2 7/21, 2nd number: 1 17/18
49/21 + 35/18 is 77/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 18 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 21 × 6 = 126,
49/21 = 49 × 6/21 × 6 = 294/126 - Likewise, for the 2nd fraction, since 18 × 7 = 126,
35/18 = 35 × 7/18 × 7 = 245/126 - Add the two like fractions:
294/126 + 245/126 = 294 + 245/126 = 539/126 - 539/126 simplified gives 77/18
- So, 49/21 + 35/18 = 77/18
In mixed form: 45/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/21+35/18 49/21+70/18 49/42+35/18 49/21+35/36 49/63+35/18 49/21+35/54 49/21+35/90