Answers

Add 30/14 and 75/81

1^st number: 2 2/14, 2^nd number: 75/81

30/14 + 75/81 is 580/189.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 14 and 81 is 1134
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1134
2. For the 1st fraction, since 14 × 81 = 1134,
   30/14 = 30 × 81/14 × 81 = 2430/1134
3. Likewise, for the 2nd fraction, since 81 × 14 = 1134,
   75/81 = 75 × 14/81 × 14 = 1050/1134
4. Add the two like fractions:
   2430/1134 + 1050/1134 = 2430 + 1050/1134 = 3480/1134
5. 3480/1134 simplified gives 580/189
6. So, 30/14 + 75/81 = 580/189
   In mixed form: 313/189

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