Answers

Add 30/42 and 48/45

1^st number: 30/42, 2^nd number: 1 3/45

30/42 + 48/45 is 187/105.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 42 and 45 is 630
   
   Next, find the equivalent fraction of both fractional numbers with denominator 630
2. For the 1st fraction, since 42 × 15 = 630,
   30/42 = 30 × 15/42 × 15 = 450/630
3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
   48/45 = 48 × 14/45 × 14 = 672/630
4. Add the two like fractions:
   450/630 + 672/630 = 450 + 672/630 = 1122/630
5. 1122/630 simplified gives 187/105
6. So, 30/42 + 48/45 = 187/105
   In mixed form: 182/105

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