Add 27/18 and 12/21
1st number: 1 9/18, 2nd number: 12/21
27/18 + 12/21 is 29/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 21 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 18 × 7 = 126,
27/18 = 27 × 7/18 × 7 = 189/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
12/21 = 12 × 6/21 × 6 = 72/126 - Add the two like fractions:
189/126 + 72/126 = 189 + 72/126 = 261/126 - 261/126 simplified gives 29/14
- So, 27/18 + 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: 54/18+12/21 27/18+24/21 27/36+12/21 27/18+12/42 81/18+12/21 27/18+36/21 27/54+12/21 27/18+12/63 27/18+60/21 27/90+12/21 27/18+84/21