Add 2/3 and 30/40
2/3 + 30/40 is 17/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 3 × 40 = 120,
2/3 = 2 × 40/3 × 40 = 80/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
30/40 = 30 × 3/40 × 3 = 90/120 - Add the two like fractions:
80/120 + 90/120 = 80 + 90/120 = 170/120 - 170/120 simplified gives 17/12
- So, 2/3 + 30/40 = 17/12
In mixed form: 15/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/3+30/40 2/3+60/40 2/6+30/40 2/3+30/80 6/3+30/40 2/3+90/40 2/9+30/40 10/3+30/40 2/15+30/40 14/3+30/40 2/21+30/40