Add 9/21 and 35/14
1st number: 9/21, 2nd number: 2 7/14
9/21 + 35/14 is 41/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 21 × 2 = 42,
9/21 = 9 × 2/21 × 2 = 18/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
35/14 = 35 × 3/14 × 3 = 105/42 - Add the two like fractions:
18/42 + 105/42 = 18 + 105/42 = 123/42 - 123/42 simplified gives 41/14
- So, 9/21 + 35/14 = 41/14
In mixed form: 213/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 18/21+35/14 9/21+70/14 9/42+35/14 9/21+35/28 27/21+35/14 9/63+35/14 9/21+35/42 45/21+35/14 9/21+35/70 63/21+35/14 9/21+35/98