Add 14/15 and 21/42
14/15 + 21/42 is 43/30.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 42 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 15 × 14 = 210,
14/15 = 14 × 14/15 × 14 = 196/210 - Likewise, for the 2nd fraction, since 42 × 5 = 210,
21/42 = 21 × 5/42 × 5 = 105/210 - Add the two like fractions:
196/210 + 105/210 = 196 + 105/210 = 301/210 - 301/210 simplified gives 43/30
- So, 14/15 + 21/42 = 43/30
In mixed form: 113/30
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 28/15+21/42 14/30+21/42 14/15+21/84 42/15+21/42 14/15+63/42 14/45+21/42 70/15+21/42 14/75+21/42 98/15+21/42