Add 49/4 and 27/16
1st number: 12 1/4, 2nd number: 1 11/16
49/4 + 27/16 is 223/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 16 is 16
Next, find the equivalent fraction of both fractional numbers with denominator 16 - For the 1st fraction, since 4 × 4 = 16,
49/4 = 49 × 4/4 × 4 = 196/16 - Likewise, for the 2nd fraction, since 16 × 1 = 16,
27/16 = 27 × 1/16 × 1 = 27/16 - Add the two like fractions:
196/16 + 27/16 = 196 + 27/16 = 223/16 - So, 49/4 + 27/16 = 223/16
In mixed form: 1315/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/4+27/16 49/4+54/16 49/8+27/16 49/4+27/32 49/4+81/16 49/12+27/16 49/4+27/48 49/20+27/16 49/4+27/80 49/28+27/16