Add 45/12 and 27/21
1st number: 3 9/12, 2nd number: 1 6/21
45/12 + 27/21 is 141/28.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 21 is 84
Next, find the equivalent fraction of both fractional numbers with denominator 84 - For the 1st fraction, since 12 × 7 = 84,
45/12 = 45 × 7/12 × 7 = 315/84 - Likewise, for the 2nd fraction, since 21 × 4 = 84,
27/21 = 27 × 4/21 × 4 = 108/84 - Add the two like fractions:
315/84 + 108/84 = 315 + 108/84 = 423/84 - 423/84 simplified gives 141/28
- So, 45/12 + 27/21 = 141/28
In mixed form: 51/28
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/12+27/21 45/12+54/21 45/24+27/21 45/12+27/42 45/12+81/21 45/36+27/21 45/12+27/63 45/60+27/21 45/84+27/21