Add 28/49 and 49/16
1st number: 28/49, 2nd number: 3 1/16
28/49 + 49/16 is 407/112.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 49 and 16 is 784
Next, find the equivalent fraction of both fractional numbers with denominator 784 - For the 1st fraction, since 49 × 16 = 784,
28/49 = 28 × 16/49 × 16 = 448/784 - Likewise, for the 2nd fraction, since 16 × 49 = 784,
49/16 = 49 × 49/16 × 49 = 2401/784 - Add the two like fractions:
448/784 + 2401/784 = 448 + 2401/784 = 2849/784 - 2849/784 simplified gives 407/112
- So, 28/49 + 49/16 = 407/112
In mixed form: 371/112
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 56/49+49/16 28/49+98/16 28/98+49/16 28/49+49/32 84/49+49/16 28/49+49/48 28/49+49/80