Add 8/35 and 42/49
8/35 + 42/49 is 38/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 35 × 7 = 245,
8/35 = 8 × 7/35 × 7 = 56/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
42/49 = 42 × 5/49 × 5 = 210/245 - Add the two like fractions:
56/245 + 210/245 = 56 + 210/245 = 266/245 - 266/245 simplified gives 38/35
- So, 8/35 + 42/49 = 38/35
In mixed form: 13/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/35+42/49 8/35+84/49 8/70+42/49 8/35+42/98 24/35+42/49 40/35+42/49 56/35+42/49