Add 42/35 and 28/9
1st number: 1 7/35, 2nd number: 3 1/9
42/35 + 28/9 is 194/45.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
42/35 = 42 × 9/35 × 9 = 378/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
28/9 = 28 × 35/9 × 35 = 980/315 - Add the two like fractions:
378/315 + 980/315 = 378 + 980/315 = 1358/315 - 1358/315 simplified gives 194/45
- So, 42/35 + 28/9 = 194/45
In mixed form: 414/45
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/35+28/9 42/35+56/9 42/70+28/9 42/35+28/18 42/35+84/9 42/35+28/27 42/35+28/45 42/35+28/63