Answers

Add 42/30 and 64/27

1^st number: 1 12/30, 2^nd number: 2 10/27

42/30 + 64/27 is 509/135.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 30 and 27 is 270
   
   Next, find the equivalent fraction of both fractional numbers with denominator 270
2. For the 1st fraction, since 30 × 9 = 270,
   42/30 = 42 × 9/30 × 9 = 378/270
3. Likewise, for the 2nd fraction, since 27 × 10 = 270,
   64/27 = 64 × 10/27 × 10 = 640/270
4. Add the two like fractions:
   378/270 + 640/270 = 378 + 640/270 = 1018/270
5. 1018/270 simplified gives 509/135
6. So, 42/30 + 64/27 = 509/135
   In mixed form: 3104/135

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