Add 30/16 and 75/18
1st number: 1 14/16, 2nd number: 4 3/18
30/16 + 75/18 is 145/24.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 16 and 18 is 144
Next, find the equivalent fraction of both fractional numbers with denominator 144 - For the 1st fraction, since 16 × 9 = 144,
30/16 = 30 × 9/16 × 9 = 270/144 - Likewise, for the 2nd fraction, since 18 × 8 = 144,
75/18 = 75 × 8/18 × 8 = 600/144 - Add the two like fractions:
270/144 + 600/144 = 270 + 600/144 = 870/144 - 870/144 simplified gives 145/24
- So, 30/16 + 75/18 = 145/24
In mixed form: 61/24
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/16+75/18 30/32+75/18 30/16+75/36 90/16+75/18 30/48+75/18 30/16+75/54 30/80+75/18 30/16+75/90