Answers

Add 30/84 and 75/32

1^st number: 30/84, 2^nd number: 2 11/32

30/84 + 75/32 is 605/224.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 32 is 672
   
   Next, find the equivalent fraction of both fractional numbers with denominator 672
2. For the 1st fraction, since 84 × 8 = 672,
   30/84 = 30 × 8/84 × 8 = 240/672
3. Likewise, for the 2nd fraction, since 32 × 21 = 672,
   75/32 = 75 × 21/32 × 21 = 1575/672
4. Add the two like fractions:
   240/672 + 1575/672 = 240 + 1575/672 = 1815/672
5. 1815/672 simplified gives 605/224
6. So, 30/84 + 75/32 = 605/224
   In mixed form: 2157/224

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