Add 21/14 and 3/4
1st number: 1 7/14, 2nd number: 3/4
21/14 + 3/4 is 9/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 4 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 14 × 2 = 28,
21/14 = 21 × 2/14 × 2 = 42/28 - Likewise, for the 2nd fraction, since 4 × 7 = 28,
3/4 = 3 × 7/4 × 7 = 21/28 - Add the two like fractions:
42/28 + 21/28 = 42 + 21/28 = 63/28 - 63/28 simplified gives 9/4
- So, 21/14 + 3/4 = 9/4
In mixed form: 21/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/14+3/4 21/14+6/4 21/28+3/4 21/14+3/8 63/14+3/4 21/14+9/4 21/42+3/4 21/14+3/12 21/14+15/4 21/70+3/4 21/14+3/20 21/14+21/4 21/98+3/4 21/14+3/28