Add 30/75 and 9/42
30/75 + 9/42 is 43/70.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 75 and 42 is 1050
Next, find the equivalent fraction of both fractional numbers with denominator 1050 - For the 1st fraction, since 75 × 14 = 1050,
30/75 = 30 × 14/75 × 14 = 420/1050 - Likewise, for the 2nd fraction, since 42 × 25 = 1050,
9/42 = 9 × 25/42 × 25 = 225/1050 - Add the two like fractions:
420/1050 + 225/1050 = 420 + 225/1050 = 645/1050 - 645/1050 simplified gives 43/70
- So, 30/75 + 9/42 = 43/70
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75+9/42 30/75+18/42 30/75+9/84 90/75+9/42 30/75+27/42 30/75+45/42 30/75+63/42