Add 40/12 and 12/40
1st number: 3 4/12, 2nd number: 12/40
40/12 + 12/40 is 109/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 40 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 12 × 10 = 120,
40/12 = 40 × 10/12 × 10 = 400/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
12/40 = 12 × 3/40 × 3 = 36/120 - Add the two like fractions:
400/120 + 36/120 = 400 + 36/120 = 436/120 - 436/120 simplified gives 109/30
- So, 40/12 + 12/40 = 109/30
In mixed form: 319/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 80/12+12/40 40/12+24/40 40/24+12/40 40/12+12/80 40/12+36/40 40/36+12/40 40/12+60/40 40/60+12/40 40/12+84/40 40/84+12/40