Add 30/3 and 75/14
1st number: 10 0/3, 2nd number: 5 5/14
30/3 + 75/14 is 215/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 3 and 14 is 42
Next, find the equivalent fraction of both fractional numbers with denominator 42 - For the 1st fraction, since 3 × 14 = 42,
30/3 = 30 × 14/3 × 14 = 420/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
75/14 = 75 × 3/14 × 3 = 225/42 - Add the two like fractions:
420/42 + 225/42 = 420 + 225/42 = 645/42 - 645/42 simplified gives 215/14
- So, 30/3 + 75/14 = 215/14
In mixed form: 155/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/3+75/14 30/6+75/14 30/3+75/28 90/3+75/14 30/9+75/14 30/3+75/42 30/15+75/14 30/3+75/70 30/21+75/14 30/3+75/98