Add 9/4 and 18/21
1st number: 2 1/4, 2nd number: 18/21
9/4 + 18/21 is 87/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 4 × 21 = 84,
9/4 = 9 × 21/4 × 21 = 189/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
18/21 = 18 × 4/21 × 4 = 72/84 - Add the two like fractions:
189/84 + 72/84 = 189 + 72/84 = 261/84 - 261/84 simplified gives 87/28
- So, 9/4 + 18/21 = 87/28
In mixed form: 33/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/4+18/21 9/4+36/21 9/8+18/21 9/4+18/42 27/4+18/21 9/4+54/21 9/12+18/21 9/4+18/63 45/4+18/21 9/4+90/21 9/20+18/21 63/4+18/21 9/28+18/21