Add 21/14 and 45/24
1st number: 1 7/14, 2nd number: 1 21/24
21/14 + 45/24 is 27/8.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 24 is 168
Next, find the equivalent fraction of both fractional numbers with denominator 168 - For the 1st fraction, since 14 × 12 = 168,
21/14 = 21 × 12/14 × 12 = 252/168 - Likewise, for the 2nd fraction, since 24 × 7 = 168,
45/24 = 45 × 7/24 × 7 = 315/168 - Add the two like fractions:
252/168 + 315/168 = 252 + 315/168 = 567/168 - 567/168 simplified gives 27/8
- So, 21/14 + 45/24 = 27/8
In mixed form: 33/8
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/14+45/24 21/14+90/24 21/28+45/24 21/14+45/48 63/14+45/24 21/42+45/24 21/14+45/72 21/70+45/24 21/98+45/24