Add 12/14 and 75/21
1st number: 12/14, 2nd number: 3 12/21
12/14 + 75/21 is 31/7.
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,
12/14 = 12 × 3/14 × 3 = 36/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
75/21 = 75 × 2/21 × 2 = 150/42 - Add the two like fractions:
36/42 + 150/42 = 36 + 150/42 = 186/42 - 186/42 simplified gives 31/7
- So, 12/14 + 75/21 = 31/7
In mixed form: 43/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 24/14+75/21 12/28+75/21 12/14+75/42 36/14+75/21 12/42+75/21 12/14+75/63 60/14+75/21 12/70+75/21 84/14+75/21 12/98+75/21