Add 30/12 and 75/16
1st number: 2 6/12, 2nd number: 4 11/16
30/12 + 75/16 is 115/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 12 × 4 = 48,
30/12 = 30 × 4/12 × 4 = 120/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
75/16 = 75 × 3/16 × 3 = 225/48 - Add the two like fractions:
120/48 + 225/48 = 120 + 225/48 = 345/48 - 345/48 simplified gives 115/16
- So, 30/12 + 75/16 = 115/16
In mixed form: 73/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/12+75/16 30/24+75/16 30/12+75/32 90/12+75/16 30/36+75/16 30/12+75/48 30/60+75/16 30/12+75/80 30/84+75/16