Add 27/28 and 28/45
27/28 + 28/45 is 1999/1260.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 45 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 28 × 45 = 1260,
27/28 = 27 × 45/28 × 45 = 1215/1260 - Likewise, for the 2nd fraction, since 45 × 28 = 1260,
28/45 = 28 × 28/45 × 28 = 784/1260 - Add the two like fractions:
1215/1260 + 784/1260 = 1215 + 784/1260 = 1999/1260 - So, 27/28 + 28/45 = 1999/1260
In mixed form: 1739/1260
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/28+28/45 27/28+56/45 27/56+28/45 27/28+28/90 81/28+28/45 27/28+84/45 27/84+28/45