Answers

Add 81/84 and 12/45

81/84 + 12/45 is 517/420.

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,
   81/84 = 81 × 15/84 × 15 = 1215/1260
3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
   12/45 = 12 × 28/45 × 28 = 336/1260
4. Add the two like fractions:
   1215/1260 + 336/1260 = 1215 + 336/1260 = 1551/1260
5. 1551/1260 simplified gives 517/420
6. So, 81/84 + 12/45 = 517/420
   In mixed form: 197/420

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