Add 21/35 and 42/9
1st number: 21/35, 2nd number: 4 6/9
21/35 + 42/9 is 79/15.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 35 and 9 is 315
Next, find the equivalent fraction of both fractional numbers with denominator 315 - For the 1st fraction, since 35 × 9 = 315,
21/35 = 21 × 9/35 × 9 = 189/315 - Likewise, for the 2nd fraction, since 9 × 35 = 315,
42/9 = 42 × 35/9 × 35 = 1470/315 - Add the two like fractions:
189/315 + 1470/315 = 189 + 1470/315 = 1659/315 - 1659/315 simplified gives 79/15
- So, 21/35 + 42/9 = 79/15
In mixed form: 54/15
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 42/35+42/9 21/35+84/9 21/70+42/9 21/35+42/18 63/35+42/9 21/35+42/27 21/35+42/45 21/35+42/63