Answers

Add 30/27 and 42/64

1^st number: 1 3/27, 2^nd number: 42/64

30/27 + 42/64 is 509/288.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 27 and 64 is 1728
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1728
2. For the 1st fraction, since 27 × 64 = 1728,
   30/27 = 30 × 64/27 × 64 = 1920/1728
3. Likewise, for the 2nd fraction, since 64 × 27 = 1728,
   42/64 = 42 × 27/64 × 27 = 1134/1728
4. Add the two like fractions:
   1920/1728 + 1134/1728 = 1920 + 1134/1728 = 3054/1728
5. 3054/1728 simplified gives 509/288
6. So, 30/27 + 42/64 = 509/288
   In mixed form: 1221/288

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