Answers

Add 30/21 and 96/45

1^st number: 1 9/21, 2^nd number: 2 6/45

30/21 + 96/45 is 374/105.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 21 and 45 is 315
   
   Next, find the equivalent fraction of both fractional numbers with denominator 315
2. For the 1st fraction, since 21 × 15 = 315,
   30/21 = 30 × 15/21 × 15 = 450/315
3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
   96/45 = 96 × 7/45 × 7 = 672/315
4. Add the two like fractions:
   450/315 + 672/315 = 450 + 672/315 = 1122/315
5. 1122/315 simplified gives 374/105
6. So, 30/21 + 96/45 = 374/105
   In mixed form: 359/105

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