Add 35/42 and 28/54
35/42 + 28/54 is 73/54.
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,
35/42 = 35 × 9/42 × 9 = 315/378 - Likewise, for the 2nd fraction, since 54 × 7 = 378,
28/54 = 28 × 7/54 × 7 = 196/378 - Add the two like fractions:
315/378 + 196/378 = 315 + 196/378 = 511/378 - 511/378 simplified gives 73/54
- So, 35/42 + 28/54 = 73/54
In mixed form: 119/54
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/42+28/54 35/42+56/54 35/84+28/54 35/42+84/54