Add 40/3 and 28/35
1st number: 13 1/3, 2nd number: 28/35
40/3 + 28/35 is 212/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 35 is 105
Next, find the equivalent fraction of both fractional numbers with denominator 105 - For the 1st fraction, since 3 × 35 = 105,
40/3 = 40 × 35/3 × 35 = 1400/105 - Likewise, for the 2nd fraction, since 35 × 3 = 105,
28/35 = 28 × 3/35 × 3 = 84/105 - Add the two like fractions:
1400/105 + 84/105 = 1400 + 84/105 = 1484/105 - 1484/105 simplified gives 212/15
- So, 40/3 + 28/35 = 212/15
In mixed form: 142/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/3+28/35 40/3+56/35 40/6+28/35 40/3+28/70 40/3+84/35 40/9+28/35 40/15+28/35 40/21+28/35