Answers

Add 10/84 and 49/90

10/84 + 49/90 is 209/315.

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,
   10/84 = 10 × 15/84 × 15 = 150/1260
3. Likewise, for the 2nd fraction, since 90 × 14 = 1260,
   49/90 = 49 × 14/90 × 14 = 686/1260
4. Add the two like fractions:
   150/1260 + 686/1260 = 150 + 686/1260 = 836/1260
5. 836/1260 simplified gives 209/315
6. So, 10/84 + 49/90 = 209/315

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