Add 27/30 and 63/14
1st number: 27/30, 2nd number: 4 7/14
27/30 + 63/14 is 27/5.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 14 is 210
Next, find the equivalent fraction of both fractional numbers with denominator 210 - For the 1st fraction, since 30 × 7 = 210,
27/30 = 27 × 7/30 × 7 = 189/210 - Likewise, for the 2nd fraction, since 14 × 15 = 210,
63/14 = 63 × 15/14 × 15 = 945/210 - Add the two like fractions:
189/210 + 945/210 = 189 + 945/210 = 1134/210 - 1134/210 simplified gives 27/5
- So, 27/30 + 63/14 = 27/5
In mixed form: 52/5
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 54/30+63/14 27/60+63/14 27/30+63/28 81/30+63/14 27/90+63/14 27/30+63/42 27/30+63/70 27/30+63/98