Add 30/75 and 64/42
1st number: 30/75, 2nd number: 1 22/42
30/75 + 64/42 is 202/105.
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,
64/42 = 64 × 25/42 × 25 = 1600/1050 - Add the two like fractions:
420/1050 + 1600/1050 = 420 + 1600/1050 = 2020/1050 - 2020/1050 simplified gives 202/105
- So, 30/75 + 64/42 = 202/105
In mixed form: 197/105
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/75+64/42 30/75+64/84 90/75+64/42