Add 7/27 and 20/21
7/27 + 20/21 is 229/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 21 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
7/27 = 7 × 7/27 × 7 = 49/189 - Likewise, for the 2nd fraction, since 21 × 9 = 189,
20/21 = 20 × 9/21 × 9 = 180/189 - Add the two like fractions:
49/189 + 180/189 = 49 + 180/189 = 229/189 - So, 7/27 + 20/21 = 229/189
In mixed form: 140/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/27+20/21 7/27+40/21 7/54+20/21 7/27+20/42 21/27+20/21 7/27+60/21 7/81+20/21 7/27+20/63 35/27+20/21 49/27+20/21