Add 36/18 and 27/21
1st number: 2 0/18, 2nd number: 1 6/21
36/18 + 27/21 is 23/7.
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,
36/18 = 36 × 7/18 × 7 = 252/126 - Likewise, for the 2nd fraction, since 21 × 6 = 126,
27/21 = 27 × 6/21 × 6 = 162/126 - Add the two like fractions:
252/126 + 162/126 = 252 + 162/126 = 414/126 - 414/126 simplified gives 23/7
- So, 36/18 + 27/21 = 23/7
In mixed form: 32/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 72/18+27/21 36/18+54/21 36/18+27/42 36/18+81/21 36/54+27/21 36/18+27/63 36/90+27/21