Add 10/40 and 49/27
1st number: 10/40, 2nd number: 1 22/27
10/40 + 49/27 is 223/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 27 is 1080
Next, find the equivalent fraction of both fractional numbers with denominator 1080 - For the 1st fraction, since 40 × 27 = 1080,
10/40 = 10 × 27/40 × 27 = 270/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
49/27 = 49 × 40/27 × 40 = 1960/1080 - Add the two like fractions:
270/1080 + 1960/1080 = 270 + 1960/1080 = 2230/1080 - 2230/1080 simplified gives 223/108
- So, 10/40 + 49/27 = 223/108
In mixed form: 27/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/40+49/27 10/40+98/27 10/80+49/27 10/40+49/54 30/40+49/27 10/40+49/81 50/40+49/27 70/40+49/27