Add 27/9 and 75/21
1st number: 3 0/9, 2nd number: 3 12/21
27/9 + 75/21 is 46/7.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 21 is 63
Next, find the equivalent fraction of both fractional numbers with denominator 63 - For the 1st fraction, since 9 × 7 = 63,
27/9 = 27 × 7/9 × 7 = 189/63 - Likewise, for the 2nd fraction, since 21 × 3 = 63,
75/21 = 75 × 3/21 × 3 = 225/63 - Add the two like fractions:
189/63 + 225/63 = 189 + 225/63 = 414/63 - 414/63 simplified gives 46/7
- So, 27/9 + 75/21 = 46/7
In mixed form: 64/7
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/9+75/21 27/18+75/21 27/9+75/42 81/9+75/21 27/9+75/63 27/45+75/21 27/63+75/21