Answers

Add 75/54 and 42/64

1^st number: 1 21/54, 2^nd number: 42/64

75/54 + 42/64 is 589/288.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 54 and 64 is 1728
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1728
2. For the 1st fraction, since 54 × 32 = 1728,
   75/54 = 75 × 32/54 × 32 = 2400/1728
3. Likewise, for the 2nd fraction, since 64 × 27 = 1728,
   42/64 = 42 × 27/64 × 27 = 1134/1728
4. Add the two like fractions:
   2400/1728 + 1134/1728 = 2400 + 1134/1728 = 3534/1728
5. 3534/1728 simplified gives 589/288
6. So, 75/54 + 42/64 = 589/288
   In mixed form: 213/288

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