Add 3/40 and 49/27
1st number: 3/40, 2nd number: 1 22/27
3/40 + 49/27 is 2041/1080.
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,
3/40 = 3 × 27/40 × 27 = 81/1080 - Likewise, for the 2nd fraction, since 27 × 40 = 1080,
49/27 = 49 × 40/27 × 40 = 1960/1080 - Add the two like fractions:
81/1080 + 1960/1080 = 81 + 1960/1080 = 2041/1080 - So, 3/40 + 49/27 = 2041/1080
In mixed form: 1961/1080
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/40+49/27 3/40+98/27 3/80+49/27 3/40+49/54 9/40+49/27 3/40+49/81 15/40+49/27 21/40+49/27