Add 35/14 and 36/21
1st number: 2 7/14, 2nd number: 1 15/21
35/14 + 36/21 is 59/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 14 × 3 = 42,
35/14 = 35 × 3/14 × 3 = 105/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
36/21 = 36 × 2/21 × 2 = 72/42 - Add the two like fractions:
105/42 + 72/42 = 105 + 72/42 = 177/42 - 177/42 simplified gives 59/14
- So, 35/14 + 36/21 = 59/14
In mixed form: 43/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/14+36/21 35/14+72/21 35/28+36/21 35/14+36/42 35/42+36/21 35/14+36/63 35/70+36/21 35/98+36/21