Answers

Add 30/42 and 60/81

30/42 + 60/81 is 275/189.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 42 and 81 is 1134
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1134
2. For the 1st fraction, since 42 × 27 = 1134,
   30/42 = 30 × 27/42 × 27 = 810/1134
3. Likewise, for the 2nd fraction, since 81 × 14 = 1134,
   60/81 = 60 × 14/81 × 14 = 840/1134
4. Add the two like fractions:
   810/1134 + 840/1134 = 810 + 840/1134 = 1650/1134
5. 1650/1134 simplified gives 275/189
6. So, 30/42 + 60/81 = 275/189
   In mixed form: 186/189

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