Add 70/40 and 49/54
1st number: 1 30/40, 2nd number: 49/54
70/40 + 49/54 is 287/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 54 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
70/40 = 70 × 27/40 × 27 = 1890/1080 - Likewise, for the 2nd fraction, since 54 × 20 = 1080,
49/54 = 49 × 20/54 × 20 = 980/1080 - Add the two like fractions:
1890/1080 + 980/1080 = 1890 + 980/1080 = 2870/1080 - 2870/1080 simplified gives 287/108
- So, 70/40 + 49/54 = 287/108
In mixed form: 271/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/40+98/54 70/80+49/54