Answers

Add 54/84 and 10/45

54/84 + 10/45 is 109/126.

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,
   54/84 = 54 × 15/84 × 15 = 810/1260
3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
   10/45 = 10 × 28/45 × 28 = 280/1260
4. Add the two like fractions:
   810/1260 + 280/1260 = 810 + 280/1260 = 1090/1260
5. 1090/1260 simplified gives 109/126
6. So, 54/84 + 10/45 = 109/126

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