Add 28/45 and 84/21
1st number: 28/45, 2nd number: 4 0/21
28/45 + 84/21 is 208/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 21 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 45 × 7 = 315,
28/45 = 28 × 7/45 × 7 = 196/315 - Likewise, for the 2nd fraction, since 21 × 15 = 315,
84/21 = 84 × 15/21 × 15 = 1260/315 - Add the two like fractions:
196/315 + 1260/315 = 196 + 1260/315 = 1456/315 - 1456/315 simplified gives 208/45
- So, 28/45 + 84/21 = 208/45
In mixed form: 428/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/45+84/21 28/90+84/21 28/45+84/42 84/45+84/21 28/45+84/63