Add 1/3 and 40/7
1st number: 1/3, 2nd number: 5 5/7
1/3 + 40/7 is 127/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 7 is 21
Next, find the equivalent fraction of both fractional numbers with denominator 21 - For the 1st fraction, since 3 × 7 = 21,
1/3 = 1 × 7/3 × 7 = 7/21 - Likewise, for the 2nd fraction, since 7 × 3 = 21,
40/7 = 40 × 3/7 × 3 = 120/21 - Add the two like fractions:
7/21 + 120/21 = 7 + 120/21 = 127/21 - So, 1/3 + 40/7 = 127/21
In mixed form: 61/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/3+40/7 1/3+80/7 1/6+40/7 1/3+40/14 1/9+40/7 1/3+40/21 5/3+40/7 1/15+40/7 1/3+40/35 7/3+40/7 1/21+40/7 1/3+40/49