Add 5/12 and 35/40
5/12 + 35/40 is 31/24.
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,
5/12 = 5 × 10/12 × 10 = 50/120 - Likewise, for the 2nd fraction, since 40 × 3 = 120,
35/40 = 35 × 3/40 × 3 = 105/120 - Add the two like fractions:
50/120 + 105/120 = 50 + 105/120 = 155/120 - 155/120 simplified gives 31/24
- So, 5/12 + 35/40 = 31/24
In mixed form: 17/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 10/12+35/40 5/12+70/40 5/24+35/40 5/12+35/80 15/12+35/40 5/36+35/40 25/12+35/40 5/60+35/40 35/12+35/40 5/84+35/40