Add 30/15 and 45/42
1st number: 2 0/15, 2nd number: 1 3/42
30/15 + 45/42 is 43/14.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
30/15 = 30 × 14/15 × 14 = 420/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
45/42 = 45 × 5/42 × 5 = 225/210 - Add the two like fractions:
420/210 + 225/210 = 420 + 225/210 = 645/210 - 645/210 simplified gives 43/14
- So, 30/15 + 45/42 = 43/14
In mixed form: 31/14
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/15+45/42 30/15+90/42 30/15+45/84 90/15+45/42 30/45+45/42 30/75+45/42