Add 49/15 and 27/16
1st number: 3 4/15, 2nd number: 1 11/16
49/15 + 27/16 is 1189/240.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 15 and 16 is 240
Next, find the equivalent fraction of both fractional numbers with denominator 240 - For the 1st fraction, since 15 × 16 = 240,
49/15 = 49 × 16/15 × 16 = 784/240 - Likewise, for the 2nd fraction, since 16 × 15 = 240,
27/16 = 27 × 15/16 × 15 = 405/240 - Add the two like fractions:
784/240 + 405/240 = 784 + 405/240 = 1189/240 - So, 49/15 + 27/16 = 1189/240
In mixed form: 4229/240
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 98/15+27/16 49/15+54/16 49/30+27/16 49/15+27/32 49/15+81/16 49/45+27/16 49/15+27/48 49/75+27/16 49/15+27/80