Add 35/27 and 27/28
1st number: 1 8/27, 2nd number: 27/28
35/27 + 27/28 is 1709/756.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 28 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 27 × 28 = 756,
35/27 = 35 × 28/27 × 28 = 980/756 - Likewise, for the 2nd fraction, since 28 × 27 = 756,
27/28 = 27 × 27/28 × 27 = 729/756 - Add the two like fractions:
980/756 + 729/756 = 980 + 729/756 = 1709/756 - So, 35/27 + 27/28 = 1709/756
In mixed form: 2197/756
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/27+27/28 35/27+54/28 35/54+27/28 35/27+27/56 35/27+81/28 35/81+27/28 35/27+27/84