Add 16/27 and 30/42
16/27 + 30/42 is 247/189.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 42 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 27 × 14 = 378,
16/27 = 16 × 14/27 × 14 = 224/378 - Likewise, for the 2nd fraction, since 42 × 9 = 378,
30/42 = 30 × 9/42 × 9 = 270/378 - Add the two like fractions:
224/378 + 270/378 = 224 + 270/378 = 494/378 - 494/378 simplified gives 247/189
- So, 16/27 + 30/42 = 247/189
In mixed form: 158/189
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/27+30/42 16/27+60/42 16/54+30/42 16/27+30/84 48/27+30/42 16/27+90/42 16/81+30/42 80/27+30/42