Add 30/75 and 27/42
30/75 + 27/42 is 73/70.
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,
27/42 = 27 × 25/42 × 25 = 675/1050 - Add the two like fractions:
420/1050 + 675/1050 = 420 + 675/1050 = 1095/1050 - 1095/1050 simplified gives 73/70
- So, 30/75 + 27/42 = 73/70
In mixed form: 13/70
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75+27/42 30/75+54/42 30/75+27/84 90/75+27/42 30/75+81/42