Add 27/4 and 35/14
1st number: 6 3/4, 2nd number: 2 7/14
27/4 + 35/14 is 37/4.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 4 and 14 is 28
Next, find the equivalent fraction of both fractional numbers with denominator 28 - For the 1st fraction, since 4 × 7 = 28,
27/4 = 27 × 7/4 × 7 = 189/28 - Likewise, for the 2nd fraction, since 14 × 2 = 28,
35/14 = 35 × 2/14 × 2 = 70/28 - Add the two like fractions:
189/28 + 70/28 = 189 + 70/28 = 259/28 - 259/28 simplified gives 37/4
- So, 27/4 + 35/14 = 37/4
In mixed form: 91/4
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/4+35/14 27/4+70/14 27/8+35/14 27/4+35/28 81/4+35/14 27/12+35/14 27/4+35/42 27/20+35/14 27/4+35/70 27/28+35/14 27/4+35/98