Add 16/36 and 28/42
16/36 + 28/42 is 10/9.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 42 is 252
Next, find the equivalent fraction of both fractional numbers with denominator 252 - For the 1st fraction, since 36 × 7 = 252,
16/36 = 16 × 7/36 × 7 = 112/252 - Likewise, for the 2nd fraction, since 42 × 6 = 252,
28/42 = 28 × 6/42 × 6 = 168/252 - Add the two like fractions:
112/252 + 168/252 = 112 + 168/252 = 280/252 - 280/252 simplified gives 10/9
- So, 16/36 + 28/42 = 10/9
In mixed form: 11/9
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 32/36+28/42 16/36+56/42 16/72+28/42 16/36+28/84 48/36+28/42 16/36+84/42 80/36+28/42