Add 4/9 and 42/56
4/9 + 42/56 is 43/36.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 9 and 56 is 504
Next, find the equivalent fraction of both fractional numbers with denominator 504 - For the 1st fraction, since 9 × 56 = 504,
4/9 = 4 × 56/9 × 56 = 224/504 - Likewise, for the 2nd fraction, since 56 × 9 = 504,
42/56 = 42 × 9/56 × 9 = 378/504 - Add the two like fractions:
224/504 + 378/504 = 224 + 378/504 = 602/504 - 602/504 simplified gives 43/36
- So, 4/9 + 42/56 = 43/36
In mixed form: 17/36
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 8/9+42/56 4/9+84/56 4/18+42/56 12/9+42/56 4/27+42/56 20/9+42/56 4/45+42/56 28/9+42/56 4/63+42/56