Answers

Add 75/84 and 9/32

75/84 + 9/32 is 263/224.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 32 is 672
   
   Next, find the equivalent fraction of both fractional numbers with denominator 672
2. For the 1st fraction, since 84 × 8 = 672,
   75/84 = 75 × 8/84 × 8 = 600/672
3. Likewise, for the 2nd fraction, since 32 × 21 = 672,
   9/32 = 9 × 21/32 × 21 = 189/672
4. Add the two like fractions:
   600/672 + 189/672 = 600 + 189/672 = 789/672
5. 789/672 simplified gives 263/224
6. So, 75/84 + 9/32 = 263/224
   In mixed form: 139/224

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