Answers

Add 75/84 and 10/45

75/84 + 10/45 is 281/252.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 45 is 1260
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1260
2. For the 1st fraction, since 84 × 15 = 1260,
   75/84 = 75 × 15/84 × 15 = 1125/1260
3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
   10/45 = 10 × 28/45 × 28 = 280/1260
4. Add the two like fractions:
   1125/1260 + 280/1260 = 1125 + 280/1260 = 1405/1260
5. 1405/1260 simplified gives 281/252
6. So, 75/84 + 10/45 = 281/252
   In mixed form: 129/252

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