Add 75/9 and 21/49
1st number: 8 3/9, 2nd number: 21/49
75/9 + 21/49 is 184/21.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 49 is 441
Next, find the equivalent fraction of both fractional numbers with denominator 441 - For the 1st fraction, since 9 × 49 = 441,
75/9 = 75 × 49/9 × 49 = 3675/441 - Likewise, for the 2nd fraction, since 49 × 9 = 441,
21/49 = 21 × 9/49 × 9 = 189/441 - Add the two like fractions:
3675/441 + 189/441 = 3675 + 189/441 = 3864/441 - 3864/441 simplified gives 184/21
- So, 75/9 + 21/49 = 184/21
In mixed form: 816/21
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 75/9+42/49 75/18+21/49 75/9+21/98 75/9+63/49 75/27+21/49 75/45+21/49 75/63+21/49