Answers

Add 35/84 and 2/75

35/84 + 2/75 is 133/300.

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,
   35/84 = 35 × 25/84 × 25 = 875/2100
3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
   2/75 = 2 × 28/75 × 28 = 56/2100
4. Add the two like fractions:
   875/2100 + 56/2100 = 875 + 56/2100 = 931/2100
5. 931/2100 simplified gives 133/300
6. So, 35/84 + 2/75 = 133/300

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