Answers

Add 75/84 and 24/90

75/84 + 24/90 is 487/420.

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,
   75/84 = 75 × 15/84 × 15 = 1125/1260
3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
   24/90 = 24 × 14/90 × 14 = 336/1260
4. Add the two like fractions:
   1125/1260 + 336/1260 = 1125 + 336/1260 = 1461/1260
5. 1461/1260 simplified gives 487/420
6. So, 75/84 + 24/90 = 487/420
   In mixed form: 167/420

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