Add 45/42 and 30/54
1st number: 1 3/42, 2nd number: 30/54
45/42 + 30/54 is 205/126.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 42 and 54 is 378
Next, find the equivalent fraction of both fractional numbers with denominator 378 - For the 1st fraction, since 42 × 9 = 378,
45/42 = 45 × 9/42 × 9 = 405/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
30/54 = 30 × 7/54 × 7 = 210/378 - Add the two like fractions:
405/378 + 210/378 = 405 + 210/378 = 615/378 - 615/378 simplified gives 205/126
- So, 45/42 + 30/54 = 205/126
In mixed form: 179/126
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 90/42+30/54 45/42+60/54 45/84+30/54 45/42+90/54