Add 27/8 and 84/49
1st number: 3 3/8, 2nd number: 1 35/49
27/8 + 84/49 is 285/56.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 8 and 49 is 392
Next, find the equivalent fraction of both fractional numbers with denominator 392 - For the 1st fraction, since 8 × 49 = 392,
27/8 = 27 × 49/8 × 49 = 1323/392 - Likewise, for the 2nd fraction, since 49 × 8 = 392,
84/49 = 84 × 8/49 × 8 = 672/392 - Add the two like fractions:
1323/392 + 672/392 = 1323 + 672/392 = 1995/392 - 1995/392 simplified gives 285/56
- So, 27/8 + 84/49 = 285/56
In mixed form: 55/56
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/8+84/49 27/16+84/49 27/8+84/98 81/8+84/49 27/24+84/49 27/40+84/49 27/56+84/49