Add 35/28 and 70/27
1st number: 1 7/28, 2nd number: 2 16/27
35/28 + 70/27 is 415/108.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 28 and 27 is 756
Next, find the equivalent fraction of both fractional numbers with denominator 756 - For the 1st fraction, since 28 × 27 = 756,
35/28 = 35 × 27/28 × 27 = 945/756 - Likewise, for the 2nd fraction, since 27 × 28 = 756,
70/27 = 70 × 28/27 × 28 = 1960/756 - Add the two like fractions:
945/756 + 1960/756 = 945 + 1960/756 = 2905/756 - 2905/756 simplified gives 415/108
- So, 35/28 + 70/27 = 415/108
In mixed form: 391/108
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/28+70/27 35/56+70/27 35/28+70/54 35/84+70/27 35/28+70/81