Add 54/40 and 21/12
1st number: 1 14/40, 2nd number: 1 9/12
54/40 + 21/12 is 31/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 40 and 12 is 120
Next, find the equivalent fraction of both fractional numbers with denominator 120 - For the 1st fraction, since 40 × 3 = 120,
54/40 = 54 × 3/40 × 3 = 162/120 - Likewise, for the 2nd fraction, since 12 × 10 = 120,
21/12 = 21 × 10/12 × 10 = 210/120 - Add the two like fractions:
162/120 + 210/120 = 162 + 210/120 = 372/120 - 372/120 simplified gives 31/10
- So, 54/40 + 21/12 = 31/10
In mixed form: 31/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/40+42/12 54/80+21/12 54/40+21/24 54/40+63/12 54/40+21/36 54/40+21/60 54/40+21/84