Add 1/4 and 21/18
1st number: 1/4, 2nd number: 1 3/18
1/4 + 21/18 is 17/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 18 is 36
Next, find the equivalent fraction of both fractional numbers with denominator 36 - For the 1st fraction, since 4 × 9 = 36,
1/4 = 1 × 9/4 × 9 = 9/36 - Likewise, for the 2nd fraction, since 18 × 2 = 36,
21/18 = 21 × 2/18 × 2 = 42/36 - Add the two like fractions:
9/36 + 42/36 = 9 + 42/36 = 51/36 - 51/36 simplified gives 17/12
- So, 1/4 + 21/18 = 17/12
In mixed form: 15/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 2/4+21/18 1/4+42/18 1/8+21/18 1/4+21/36 3/4+21/18 1/4+63/18 1/12+21/18 1/4+21/54 5/4+21/18 1/20+21/18 1/4+21/90 7/4+21/18 1/28+21/18