Answers

Add 30/84 and 10/75

30/84 + 10/75 is 103/210.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 75 is 2100
   
   Next, find the equivalent fraction of both fractional numbers with denominator 2100
2. For the 1st fraction, since 84 × 25 = 2100,
   30/84 = 30 × 25/84 × 25 = 750/2100
3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
   10/75 = 10 × 28/75 × 28 = 280/2100
4. Add the two like fractions:
   750/2100 + 280/2100 = 750 + 280/2100 = 1030/2100
5. 1030/2100 simplified gives 103/210
6. So, 30/84 + 10/75 = 103/210

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