Add 9/4 and 18/42
1st number: 2 1/4, 2nd number: 18/42
9/4 + 18/42 is 75/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 42 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 42 × 2 = 84,
18/42 = 18 × 2/42 × 2 = 36/84 - Add the two like fractions:
189/84 + 36/84 = 189 + 36/84 = 225/84 - 225/84 simplified gives 75/28
- So, 9/4 + 18/42 = 75/28
In mixed form: 219/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/4+18/42 9/4+36/42 9/8+18/42 9/4+18/84 27/4+18/42 9/4+54/42 9/12+18/42 45/4+18/42 9/4+90/42 9/20+18/42 63/4+18/42 9/28+18/42