Answers

Add 81/30 and 27/84

1^st number: 2 21/30, 2^nd number: 27/84

81/30 + 27/84 is 423/140.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 30 and 84 is 420
   
   Next, find the equivalent fraction of both fractional numbers with denominator 420
2. For the 1st fraction, since 30 × 14 = 420,
   81/30 = 81 × 14/30 × 14 = 1134/420
3. Likewise, for the 2nd fraction, since 84 × 5 = 420,
   27/84 = 27 × 5/84 × 5 = 135/420
4. Add the two like fractions:
   1134/420 + 135/420 = 1134 + 135/420 = 1269/420
5. 1269/420 simplified gives 423/140
6. So, 81/30 + 27/84 = 423/140
   In mixed form: 33/140

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