Answers

Add 75/28 and 84/45

1^st number: 2 19/28, 2^nd number: 1 39/45

75/28 + 84/45 is 1909/420.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 28 and 45 is 1260
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1260
2. For the 1st fraction, since 28 × 45 = 1260,
   75/28 = 75 × 45/28 × 45 = 3375/1260
3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
   84/45 = 84 × 28/45 × 28 = 2352/1260
4. Add the two like fractions:
   3375/1260 + 2352/1260 = 3375 + 2352/1260 = 5727/1260
5. 5727/1260 simplified gives 1909/420
6. So, 75/28 + 84/45 = 1909/420
   In mixed form: 4229/420

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