Add 35/14 and 27/30
1st number: 2 7/14, 2nd number: 27/30
35/14 + 27/30 is 17/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 14 and 30 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 14 × 15 = 210,
35/14 = 35 × 15/14 × 15 = 525/210 - Likewise, for the 2nd fraction, since 30 × 7 = 210,
27/30 = 27 × 7/30 × 7 = 189/210 - Add the two like fractions:
525/210 + 189/210 = 525 + 189/210 = 714/210 - 714/210 simplified gives 17/5
- So, 35/14 + 27/30 = 17/5
In mixed form: 32/5
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 70/14+27/30 35/14+54/30 35/28+27/30 35/14+27/60 35/14+81/30 35/42+27/30 35/14+27/90 35/70+27/30 35/98+27/30