Add 27/12 and 35/16
1st number: 2 3/12, 2nd number: 2 3/16
27/12 + 35/16 is 71/16.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 12 and 16 is 48
Next, find the equivalent fraction of both fractional numbers with denominator 48 - For the 1st fraction, since 12 × 4 = 48,
27/12 = 27 × 4/12 × 4 = 108/48 - Likewise, for the 2nd fraction, since 16 × 3 = 48,
35/16 = 35 × 3/16 × 3 = 105/48 - Add the two like fractions:
108/48 + 105/48 = 108 + 105/48 = 213/48 - 213/48 simplified gives 71/16
- So, 27/12 + 35/16 = 71/16
In mixed form: 47/16
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/12+35/16 27/12+70/16 27/24+35/16 27/12+35/32 81/12+35/16 27/36+35/16 27/12+35/48 27/60+35/16 27/12+35/80 27/84+35/16