Add 49/54 and 15/40
49/54 + 15/40 is 277/216.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 54 and 40 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 54 × 20 = 1080,
49/54 = 49 × 20/54 × 20 = 980/1080 - Likewise, for the 2nd fraction, since 40 × 27 = 1080,
15/40 = 15 × 27/40 × 27 = 405/1080 - Add the two like fractions:
980/1080 + 405/1080 = 980 + 405/1080 = 1385/1080 - 1385/1080 simplified gives 277/216
- So, 49/54 + 15/40 = 277/216
In mixed form: 161/216
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/54+15/40 49/54+30/40 49/54+15/80 49/54+45/40 49/54+75/40