Add 42/5 and 21/49
1st number: 8 2/5, 2nd number: 21/49
42/5 + 21/49 is 309/35.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 49 is 245
Next, find the equivalent fraction of both fractional numbers with denominator 245 - For the 1st fraction, since 5 × 49 = 245,
42/5 = 42 × 49/5 × 49 = 2058/245 - Likewise, for the 2nd fraction, since 49 × 5 = 245,
21/49 = 21 × 5/49 × 5 = 105/245 - Add the two like fractions:
2058/245 + 105/245 = 2058 + 105/245 = 2163/245 - 2163/245 simplified gives 309/35
- So, 42/5 + 21/49 = 309/35
In mixed form: 829/35
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 84/5+21/49 42/5+42/49 42/10+21/49 42/5+21/98 42/5+63/49 42/15+21/49 42/25+21/49 42/35+21/49