Add 7/9 and 21/42
7/9 + 21/42 is 23/18.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 42 is 126
Next, find the equivalent fraction of both fractional numbers with denominator 126 - For the 1st fraction, since 9 × 14 = 126,
7/9 = 7 × 14/9 × 14 = 98/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
21/42 = 21 × 3/42 × 3 = 63/126 - Add the two like fractions:
98/126 + 63/126 = 98 + 63/126 = 161/126 - 161/126 simplified gives 23/18
- So, 7/9 + 21/42 = 23/18
In mixed form: 15/18
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 14/9+21/42 7/18+21/42 7/9+21/84 21/9+21/42 7/9+63/42 7/27+21/42 35/9+21/42 7/45+21/42 49/9+21/42 7/63+21/42