Add 3/2 and 12/21
1st number: 1 1/2, 2nd number: 12/21
3/2 + 12/21 is 29/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 2 and 21 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 2 × 21 = 42,
3/2 = 3 × 21/2 × 21 = 63/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
12/21 = 12 × 2/21 × 2 = 24/42 - Add the two like fractions:
63/42 + 24/42 = 63 + 24/42 = 87/42 - 87/42 simplified gives 29/14
- So, 3/2 + 12/21 = 29/14
In mixed form: 21/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 6/2+12/21 3/2+24/21 3/4+12/21 3/2+12/42 9/2+12/21 3/2+36/21 3/6+12/21 3/2+12/63 15/2+12/21 3/2+60/21 3/10+12/21 21/2+12/21 3/2+84/21 3/14+12/21