Add 75/16 and 30/18
1st number: 4 11/16, 2nd number: 1 12/18
75/16 + 30/18 is 305/48.
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,
75/16 = 75 × 9/16 × 9 = 675/144 - Likewise, for the 2nd fraction, since 18 × 8 = 144,
30/18 = 30 × 8/18 × 8 = 240/144 - Add the two like fractions:
675/144 + 240/144 = 675 + 240/144 = 915/144 - 915/144 simplified gives 305/48
- So, 75/16 + 30/18 = 305/48
In mixed form: 617/48
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/16+60/18 75/32+30/18 75/16+30/36 75/16+90/18 75/48+30/18 75/16+30/54 75/80+30/18 75/16+30/90