Add 40/4 and 49/27
1st number: 10 0/4, 2nd number: 1 22/27
40/4 + 49/27 is 319/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 27 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 4 × 27 = 108,
40/4 = 40 × 27/4 × 27 = 1080/108 - Likewise, for the 2nd fraction, since 27 × 4 = 108,
49/27 = 49 × 4/27 × 4 = 196/108 - Add the two like fractions:
1080/108 + 196/108 = 1080 + 196/108 = 1276/108 - 1276/108 simplified gives 319/27
- So, 40/4 + 49/27 = 319/27
In mixed form: 1122/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/4+49/27 40/4+98/27 40/8+49/27 40/4+49/54 40/12+49/27 40/4+49/81 40/20+49/27 40/28+49/27