Add 14/21 and 20/27
14/21 + 20/27 is 38/27.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 21 and 27 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 21 × 9 = 189,
14/21 = 14 × 9/21 × 9 = 126/189 - Likewise, for the 2nd fraction, since 27 × 7 = 189,
20/27 = 20 × 7/27 × 7 = 140/189 - Add the two like fractions:
126/189 + 140/189 = 126 + 140/189 = 266/189 - 266/189 simplified gives 38/27
- So, 14/21 + 20/27 = 38/27
In mixed form: 111/27
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/21+20/27 14/21+40/27 14/42+20/27 14/21+20/54 42/21+20/27 14/21+60/27 14/63+20/27 14/21+20/81 70/21+20/27 98/21+20/27