Answers

Add 72/45 and 21/84

1^st number: 1 27/45, 2^nd number: 21/84

72/45 + 21/84 is 37/20.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 45 and 84 is 1260
   
   Next, find the equivalent fraction of both fractional numbers with denominator 1260
2. For the 1st fraction, since 45 × 28 = 1260,
   72/45 = 72 × 28/45 × 28 = 2016/1260
3. Likewise, for the 2nd fraction, since 84 × 15 = 1260,
   21/84 = 21 × 15/84 × 15 = 315/1260
4. Add the two like fractions:
   2016/1260 + 315/1260 = 2016 + 315/1260 = 2331/1260
5. 2331/1260 simplified gives 37/20
6. So, 72/45 + 21/84 = 37/20
   In mixed form: 117/20

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