Add 12/30 and 30/40
12/30 + 30/40 is 23/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 30 × 4 = 120,
12/30 = 12 × 4/30 × 4 = 48/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
30/40 = 30 × 3/40 × 3 = 90/120 - Add the two like fractions:
48/120 + 90/120 = 48 + 90/120 = 138/120 - 138/120 simplified gives 23/20
- So, 12/30 + 30/40 = 23/20
In mixed form: 13/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/30+30/40 12/30+60/40 12/60+30/40 12/30+30/80 36/30+30/40 12/30+90/40 12/90+30/40 60/30+30/40 84/30+30/40