Add 18/9 and 36/16
1st number: 2 0/9, 2nd number: 2 4/16
18/9 + 36/16 is 17/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 9 × 16 = 144,
18/9 = 18 × 16/9 × 16 = 288/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
36/16 = 36 × 9/16 × 9 = 324/144 - Add the two like fractions:
288/144 + 324/144 = 288 + 324/144 = 612/144 - 612/144 simplified gives 17/4
- So, 18/9 + 36/16 = 17/4
In mixed form: 41/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 36/9+36/16 18/9+72/16 18/9+36/32 54/9+36/16 18/27+36/16 18/9+36/48 90/9+36/16 18/45+36/16 18/9+36/80 18/63+36/16