Add 40/12 and 8/9
1st number: 3 4/12, 2nd number: 8/9
40/12 + 8/9 is 38/9.
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,
8/9 = 8 × 4/9 × 4 = 32/36 - Add the two like fractions:
120/36 + 32/36 = 120 + 32/36 = 152/36 - 152/36 simplified gives 38/9
- So, 40/12 + 8/9 = 38/9
In mixed form: 42/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/12+8/9 40/12+16/9 40/24+8/9 40/12+8/18 40/12+24/9 40/36+8/9 40/12+8/27 40/12+40/9 40/60+8/9 40/12+8/45 40/12+56/9 40/84+8/9 40/12+8/63