Add 21/42 and 16/27
21/42 + 16/27 is 59/54.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 27 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
21/42 = 21 × 9/42 × 9 = 189/378 - Likewise, for the 2nd fraction, since 27 × 14 = 378,
16/27 = 16 × 14/27 × 14 = 224/378 - Add the two like fractions:
189/378 + 224/378 = 189 + 224/378 = 413/378 - 413/378 simplified gives 59/54
- So, 21/42 + 16/27 = 59/54
In mixed form: 15/54
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 21/42+32/27 21/84+16/27 21/42+16/54 63/42+16/27 21/42+48/27 21/42+16/81 21/42+80/27