Add 7/18 and 42/49
7/18 + 42/49 is 157/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 49 is 882
Next, find the equivalent fraction of both fractional numbers with denominator 882 - For the 1st fraction, since 18 × 49 = 882,
7/18 = 7 × 49/18 × 49 = 343/882 - Likewise, for the 2nd fraction, since 49 × 18 = 882,
42/49 = 42 × 18/49 × 18 = 756/882 - Add the two like fractions:
343/882 + 756/882 = 343 + 756/882 = 1099/882 - 1099/882 simplified gives 157/126
- So, 7/18 + 42/49 = 157/126
In mixed form: 131/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/18+42/49 7/18+84/49 7/36+42/49 7/18+42/98 21/18+42/49 7/54+42/49 35/18+42/49 7/90+42/49 49/18+42/49