Add 9/18 and 35/16
1st number: 9/18, 2nd number: 2 3/16
9/18 + 35/16 is 43/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 18 and 16 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 18 × 8 = 144,
9/18 = 9 × 8/18 × 8 = 72/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
35/16 = 35 × 9/16 × 9 = 315/144 - Add the two like fractions:
72/144 + 315/144 = 72 + 315/144 = 387/144 - 387/144 simplified gives 43/16
- So, 9/18 + 35/16 = 43/16
In mixed form: 211/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 9/18+70/16 9/36+35/16 9/18+35/32 27/18+35/16 9/54+35/16 9/18+35/48 45/18+35/16 9/90+35/16 9/18+35/80 63/18+35/16