Add 40/12 and 16/9
1st number: 3 4/12, 2nd number: 1 7/9
40/12 + 16/9 is 46/9.
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,
40/12 = 40 × 3/12 × 3 = 120/36 - Likewise, for the 2nd fraction, since 9 × 4 = 36,
16/9 = 16 × 4/9 × 4 = 64/36 - Add the two like fractions:
120/36 + 64/36 = 120 + 64/36 = 184/36 - 184/36 simplified gives 46/9
- So, 40/12 + 16/9 = 46/9
In mixed form: 51/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/12+16/9 40/12+32/9 40/24+16/9 40/12+16/18 40/12+48/9 40/36+16/9 40/12+16/27 40/12+80/9 40/60+16/9 40/12+16/45 40/84+16/9 40/12+16/63