Add 30/40 and 12/16
30/40 + 12/16 is 3/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 16 is 80
Next, find the equivalent fraction of both fractional numbers with denominator 80 - For the 1st fraction, since 40 × 2 = 80,
30/40 = 30 × 2/40 × 2 = 60/80 - Likewise, for the 2nd fraction, since 16 × 5 = 80,
12/16 = 12 × 5/16 × 5 = 60/80 - Add the two like fractions:
60/80 + 60/80 = 60 + 60/80 = 120/80 - 120/80 simplified gives 3/2
- So, 30/40 + 12/16 = 3/2
In mixed form: 11/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/40+12/16 30/40+24/16 30/80+12/16 30/40+12/32 90/40+12/16 30/40+36/16 30/40+12/48 30/40+60/16 30/40+12/80 30/40+84/16