Answers

Add 75/21 and 27/40

1^st number: 3 12/21, 2^nd number: 27/40

75/21 + 27/40 is 1189/280.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 21 and 40 is 840
   
   Next, find the equivalent fraction of both fractional numbers with denominator 840
2. For the 1st fraction, since 21 × 40 = 840,
   75/21 = 75 × 40/21 × 40 = 3000/840
3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
   27/40 = 27 × 21/40 × 21 = 567/840
4. Add the two like fractions:
   3000/840 + 567/840 = 3000 + 567/840 = 3567/840
5. 3567/840 simplified gives 1189/280
6. So, 75/21 + 27/40 = 1189/280
   In mixed form: 469/280

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