Add 21/2 and 9/14
1st number: 10 1/2, 2nd number: 9/14
21/2 + 9/14 is 78/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 14 is 14
Next, find the equivalent fraction of both fractional numbers with denominator 14 - For the 1st fraction, since 2 × 7 = 14,
21/2 = 21 × 7/2 × 7 = 147/14 - Likewise, for the 2nd fraction, since 14 × 1 = 14,
9/14 = 9 × 1/14 × 1 = 9/14 - Add the two like fractions:
147/14 + 9/14 = 147 + 9/14 = 156/14 - 156/14 simplified gives 78/7
- So, 21/2 + 9/14 = 78/7
In mixed form: 111/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/2+9/14 21/2+18/14 21/4+9/14 21/2+9/28 63/2+9/14 21/2+27/14 21/6+9/14 21/2+9/42 21/2+45/14 21/10+9/14 21/2+9/70 21/2+63/14 21/14+9/14 21/2+9/98