Answers

Add 30/75 and 84/42

1^st number: 30/75, 2^nd number: 2 0/42

30/75 + 84/42 is 12/5.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 75 and 42 is 1050
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1050
2. For the 1st fraction, since 75 × 14 = 1050,
   30/75 = 30 × 14/75 × 14 = 420/1050
3. Likewise, for the 2nd fraction, since 42 × 25 = 1050,
   84/42 = 84 × 25/42 × 25 = 2100/1050
4. Add the two like fractions:
   420/1050 + 2100/1050 = 420 + 2100/1050 = 2520/1050
5. 2520/1050 simplified gives 12/5
6. So, 30/75 + 84/42 = 12/5
   In mixed form: 22/5

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