Add 9/12 and 12/16
9/12 + 12/16 is 3/2.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 12 × 4 = 48,
9/12 = 9 × 4/12 × 4 = 36/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
12/16 = 12 × 3/16 × 3 = 36/48 - Add the two like fractions:
36/48 + 36/48 = 36 + 36/48 = 72/48 - 72/48 simplified gives 3/2
- So, 9/12 + 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: 18/12+12/16 9/12+24/16 9/24+12/16 9/12+12/32 27/12+12/16 9/12+36/16 9/36+12/16 9/12+12/48 45/12+12/16 9/12+60/16 9/60+12/16 9/12+12/80 63/12+12/16 9/12+84/16 9/84+12/16