Add 16/12 and 30/9
1st number: 1 4/12, 2nd number: 3 3/9
16/12 + 30/9 is 14/3.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 9 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 12 × 3 = 36,
16/12 = 16 × 3/12 × 3 = 48/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
30/9 = 30 × 4/9 × 4 = 120/36 - Add the two like fractions:
48/36 + 120/36 = 48 + 120/36 = 168/36 - 168/36 simplified gives 14/3
- So, 16/12 + 30/9 = 14/3
In mixed form: 42/3
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/12+30/9 16/12+60/9 16/24+30/9 16/12+30/18 48/12+30/9 16/12+90/9 16/36+30/9 16/12+30/27 80/12+30/9 16/60+30/9 16/12+30/45 16/84+30/9 16/12+30/63