Answers

Add 30/84 and 14/75

30/84 + 14/75 is 571/1050.

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,
   14/75 = 14 × 28/75 × 28 = 392/2100
4. Add the two like fractions:
   750/2100 + 392/2100 = 750 + 392/2100 = 1142/2100
5. 1142/2100 simplified gives 571/1050
6. So, 30/84 + 14/75 = 571/1050

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