Add 21/9 and 30/42
1st number: 2 3/9, 2nd number: 30/42
21/9 + 30/42 is 64/21.
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,
21/9 = 21 × 14/9 × 14 = 294/126 - Likewise, for the 2nd fraction, since 42 × 3 = 126,
30/42 = 30 × 3/42 × 3 = 90/126 - Add the two like fractions:
294/126 + 90/126 = 294 + 90/126 = 384/126 - 384/126 simplified gives 64/21
- So, 21/9 + 30/42 = 64/21
In mixed form: 31/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/9+30/42 21/9+60/42 21/18+30/42 21/9+30/84 63/9+30/42 21/9+90/42 21/27+30/42 21/45+30/42 21/63+30/42