Answers

Add 40/84 and 16/45

40/84 + 16/45 is 262/315.

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,
   40/84 = 40 × 15/84 × 15 = 600/1260
3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
   16/45 = 16 × 28/45 × 28 = 448/1260
4. Add the two like fractions:
   600/1260 + 448/1260 = 600 + 448/1260 = 1048/1260
5. 1048/1260 simplified gives 262/315
6. So, 40/84 + 16/45 = 262/315

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