Answers

Add 35/21 and 40/45

1^st number: 1 14/21, 2^nd number: 40/45

35/21 + 40/45 is 23/9.

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,
   35/21 = 35 × 15/21 × 15 = 525/315
3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
   40/45 = 40 × 7/45 × 7 = 280/315
4. Add the two like fractions:
   525/315 + 280/315 = 525 + 280/315 = 805/315
5. 805/315 simplified gives 23/9
6. So, 35/21 + 40/45 = 23/9
   In mixed form: 25/9

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