Add 30/27 and 27/7
1st number: 1 3/27, 2nd number: 3 6/7
30/27 + 27/7 is 313/63.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 27 and 7 is 189
Next, find the equivalent fraction of both fractional numbers with denominator 189 - For the 1st fraction, since 27 × 7 = 189,
30/27 = 30 × 7/27 × 7 = 210/189 - Likewise, for the 2nd fraction, since 7 × 27 = 189,
27/7 = 27 × 27/7 × 27 = 729/189 - Add the two like fractions:
210/189 + 729/189 = 210 + 729/189 = 939/189 - 939/189 simplified gives 313/63
- So, 30/27 + 27/7 = 313/63
In mixed form: 461/63
MathStep (Works offline)
Download our mobile app and learn to work with fractions in your own time:
Android and iPhone/ iPad
Related: 60/27+27/7 30/27+54/7 30/54+27/7 30/27+27/14 90/27+27/7 30/27+81/7 30/81+27/7 30/27+27/21 30/27+27/35 30/27+27/49