Answers

Add 14/84 and 8/45

14/84 + 8/45 is 31/90.

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,
   14/84 = 14 × 15/84 × 15 = 210/1260
3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
   8/45 = 8 × 28/45 × 28 = 224/1260
4. Add the two like fractions:
   210/1260 + 224/1260 = 210 + 224/1260 = 434/1260
5. 434/1260 simplified gives 31/90
6. So, 14/84 + 8/45 = 31/90

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