Answers

Add 45/84 and 24/90

45/84 + 24/90 is 337/420.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 90 is 1260
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1260
2. For the 1st fraction, since 84 × 15 = 1260,
   45/84 = 45 × 15/84 × 15 = 675/1260
3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
   24/90 = 24 × 14/90 × 14 = 336/1260
4. Add the two like fractions:
   675/1260 + 336/1260 = 675 + 336/1260 = 1011/1260
5. 1011/1260 simplified gives 337/420
6. So, 45/84 + 24/90 = 337/420

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