Add 10/3 and 75/14
1st number: 3 1/3, 2nd number: 5 5/14
10/3 + 75/14 is 365/42.
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,
10/3 = 10 × 14/3 × 14 = 140/42 - Likewise, for the 2nd fraction, since 14 × 3 = 42,
75/14 = 75 × 3/14 × 3 = 225/42 - Add the two like fractions:
140/42 + 225/42 = 140 + 225/42 = 365/42 - So, 10/3 + 75/14 = 365/42
In mixed form: 829/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 20/3+75/14 10/6+75/14 10/3+75/28 30/3+75/14 10/9+75/14 10/3+75/42 50/3+75/14 10/15+75/14 10/3+75/70 70/3+75/14 10/21+75/14 10/3+75/98