Add 27/14 and 75/21
1st number: 1 13/14, 2nd number: 3 12/21
27/14 + 75/21 is 11/2.
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,
27/14 = 27 × 3/14 × 3 = 81/42 - Likewise, for the 2nd fraction, since 21 × 2 = 42,
75/21 = 75 × 2/21 × 2 = 150/42 - Add the two like fractions:
81/42 + 150/42 = 81 + 150/42 = 231/42 - 231/42 simplified gives 11/2
- So, 27/14 + 75/21 = 11/2
In mixed form: 51/2
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/14+75/21 27/28+75/21 27/14+75/42 81/14+75/21 27/42+75/21 27/14+75/63 27/70+75/21 27/98+75/21