Add 75/18 and 21/16
1st number: 4 3/18, 2nd number: 1 5/16
75/18 + 21/16 is 263/48.
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,
75/18 = 75 × 8/18 × 8 = 600/144 - Likewise, for the 2nd fraction, since 16 × 9 = 144,
21/16 = 21 × 9/16 × 9 = 189/144 - Add the two like fractions:
600/144 + 189/144 = 600 + 189/144 = 789/144 - 789/144 simplified gives 263/48
- So, 75/18 + 21/16 = 263/48
In mixed form: 523/48
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/18+42/16 75/36+21/16 75/18+21/32 75/18+63/16 75/54+21/16 75/18+21/48 75/90+21/16 75/18+21/80