Add 30/36 and 36/16
1st number: 30/36, 2nd number: 2 4/16
30/36 + 36/16 is 37/12.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 36 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 36 × 4 = 144,
30/36 = 30 × 4/36 × 4 = 120/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
36/16 = 36 × 9/16 × 9 = 324/144 - Add the two like fractions:
120/144 + 324/144 = 120 + 324/144 = 444/144 - 444/144 simplified gives 37/12
- So, 30/36 + 36/16 = 37/12
In mixed form: 31/12
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/36+36/16 30/36+72/16 30/72+36/16 30/36+36/32 90/36+36/16 30/36+36/48 30/36+36/80