Answers

Add 9/84 and 84/45

1^st number: 9/84, 2^nd number: 1 39/45

9/84 + 84/45 is 829/420.

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,
   9/84 = 9 × 15/84 × 15 = 135/1260
3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
   84/45 = 84 × 28/45 × 28 = 2352/1260
4. Add the two like fractions:
   135/1260 + 2352/1260 = 135 + 2352/1260 = 2487/1260
5. 2487/1260 simplified gives 829/420
6. So, 9/84 + 84/45 = 829/420
   In mixed form: 1409/420

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