Add 8/14 and 27/49
8/14 + 27/49 is 55/49.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 49 is 98
Next, find the equivalent fraction of both fractional numbers with denominator 98 - For the 1st fraction, since 14 × 7 = 98,
8/14 = 8 × 7/14 × 7 = 56/98 - Likewise, for the 2nd fraction, since 49 × 2 = 98,
27/49 = 27 × 2/49 × 2 = 54/98 - Add the two like fractions:
56/98 + 54/98 = 56 + 54/98 = 110/98 - 110/98 simplified gives 55/49
- So, 8/14 + 27/49 = 55/49
In mixed form: 16/49
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 16/14+27/49 8/14+54/49 8/28+27/49 8/14+27/98 24/14+27/49 8/14+81/49 8/42+27/49 40/14+27/49 8/70+27/49 56/14+27/49 8/98+27/49