Answers

Add 30/84 and 36/27

1^st number: 30/84, 2^nd number: 1 9/27

30/84 + 36/27 is 71/42.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 27 is 756
   
   Next, find the equivalent fraction of both fractional numbers with denominator 756
2. For the 1st fraction, since 84 × 9 = 756,
   30/84 = 30 × 9/84 × 9 = 270/756
3. Likewise, for the 2nd fraction, since 27 × 28 = 756,
   36/27 = 36 × 28/27 × 28 = 1008/756
4. Add the two like fractions:
   270/756 + 1008/756 = 270 + 1008/756 = 1278/756
5. 1278/756 simplified gives 71/42
6. So, 30/84 + 36/27 = 71/42
   In mixed form: 129/42

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