Add 21/36 and 42/54
21/36 + 42/54 is 49/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 54 is 108
Next, find the equivalent fraction of both fractional numbers with denominator 108 - For the 1st fraction, since 36 × 3 = 108,
21/36 = 21 × 3/36 × 3 = 63/108 - Likewise, for the 2nd fraction, since 54 × 2 = 108,
42/54 = 42 × 2/54 × 2 = 84/108 - Add the two like fractions:
63/108 + 84/108 = 63 + 84/108 = 147/108 - 147/108 simplified gives 49/36
- So, 21/36 + 42/54 = 49/36
In mixed form: 113/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/36+42/54 21/36+84/54 21/72+42/54 63/36+42/54