Add 30/9 and 45/14
1st number: 3 3/9, 2nd number: 3 3/14
30/9 + 45/14 is 275/42.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 14 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
30/9 = 30 × 14/9 × 14 = 420/126 - Likewise, for the 2nd fraction, since 14 × 9 = 126,
45/14 = 45 × 9/14 × 9 = 405/126 - Add the two like fractions:
420/126 + 405/126 = 420 + 405/126 = 825/126 - 825/126 simplified gives 275/42
- So, 30/9 + 45/14 = 275/42
In mixed form: 623/42
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/9+45/14 30/9+90/14 30/18+45/14 30/9+45/28 90/9+45/14 30/27+45/14 30/9+45/42 30/45+45/14 30/9+45/70 30/63+45/14 30/9+45/98