Add 27/45 and 21/28
27/45 + 21/28 is 27/20.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 45 and 28 is 1260
Next, find the equivalent fraction of both fractional numbers with denominator 1260 - For the 1st fraction, since 45 × 28 = 1260,
27/45 = 27 × 28/45 × 28 = 756/1260 - Likewise, for the 2nd fraction, since 28 × 45 = 1260,
21/28 = 21 × 45/28 × 45 = 945/1260 - Add the two like fractions:
756/1260 + 945/1260 = 756 + 945/1260 = 1701/1260 - 1701/1260 simplified gives 27/20
- So, 27/45 + 21/28 = 27/20
In mixed form: 17/20
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/45+21/28 27/45+42/28 27/90+21/28 27/45+21/56 81/45+21/28 27/45+63/28 27/45+21/84