Add 10/36 and 35/14
1st number: 10/36, 2nd number: 2 7/14
10/36 + 35/14 is 25/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 14 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
10/36 = 10 × 7/36 × 7 = 70/252 - Likewise, for the 2nd fraction, since 14 × 18 = 252,
35/14 = 35 × 18/14 × 18 = 630/252 - Add the two like fractions:
70/252 + 630/252 = 70 + 630/252 = 700/252 - 700/252 simplified gives 25/9
- So, 10/36 + 35/14 = 25/9
In mixed form: 27/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/36+35/14 10/36+70/14 10/72+35/14 10/36+35/28 30/36+35/14 10/36+35/42 50/36+35/14 10/36+35/70 70/36+35/14 10/36+35/98