Answers

Add 35/72 and 72/96

35/72 + 72/96 is 89/72.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 72 and 96 is 288
   
   Next, find the equivalent fraction of both fractional numbers with denominator 288
2. For the 1st fraction, since 72 × 4 = 288,
   35/72 = 35 × 4/72 × 4 = 140/288
3. Likewise, for the 2nd fraction, since 96 × 3 = 288,
   72/96 = 72 × 3/96 × 3 = 216/288
4. Add the two like fractions:
   140/288 + 216/288 = 140 + 216/288 = 356/288
5. 356/288 simplified gives 89/72
6. So, 35/72 + 72/96 = 89/72
   In mixed form: 117/72

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