Add 30/36 and 9/16
30/36 + 9/16 is 67/48.
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,
9/16 = 9 × 9/16 × 9 = 81/144 - Add the two like fractions:
120/144 + 81/144 = 120 + 81/144 = 201/144 - 201/144 simplified gives 67/48
- So, 30/36 + 9/16 = 67/48
In mixed form: 119/48
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/36+9/16 30/36+18/16 30/72+9/16 30/36+9/32 90/36+9/16 30/36+27/16 30/36+9/48 30/36+45/16 30/36+9/80 30/36+63/16