Add 49/18 and 54/21
1st number: 2 13/18, 2nd number: 2 12/21
49/18 + 54/21 is 667/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
49/18 = 49 × 7/18 × 7 = 343/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
54/21 = 54 × 6/21 × 6 = 324/126 - Add the two like fractions:
343/126 + 324/126 = 343 + 324/126 = 667/126 - So, 49/18 + 54/21 = 667/126
In mixed form: 537/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/18+54/21 49/36+54/21 49/18+54/42 49/54+54/21 49/18+54/63 49/90+54/21