Add 2/5 and 28/42
2/5 + 28/42 is 16/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 5 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 5 × 42 = 210,
2/5 = 2 × 42/5 × 42 = 84/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
28/42 = 28 × 5/42 × 5 = 140/210 - Add the two like fractions:
84/210 + 140/210 = 84 + 140/210 = 224/210 - 224/210 simplified gives 16/15
- So, 2/5 + 28/42 = 16/15
In mixed form: 11/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 4/5+28/42 2/5+56/42 2/10+28/42 2/5+28/84 6/5+28/42 2/5+84/42 2/15+28/42 10/5+28/42 2/25+28/42 14/5+28/42 2/35+28/42