Add 7/35 and 35/14
1st number: 7/35, 2nd number: 2 7/14
7/35 + 35/14 is 27/10.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 14 is 70
Next, find the equivalent fraction of both fractional numbers with denominator 70 - For the 1st fraction, since 35 × 2 = 70,
7/35 = 7 × 2/35 × 2 = 14/70 - Likewise, for the 2nd fraction, since 14 × 5 = 70,
35/14 = 35 × 5/14 × 5 = 175/70 - Add the two like fractions:
14/70 + 175/70 = 14 + 175/70 = 189/70 - 189/70 simplified gives 27/10
- So, 7/35 + 35/14 = 27/10
In mixed form: 27/10
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/35+35/14 7/35+70/14 7/70+35/14 7/35+35/28 21/35+35/14 7/35+35/42 7/35+35/70 49/35+35/14 7/35+35/98