Answers

Add 40/84 and 27/35

40/84 + 27/35 is 131/105.

Steps for adding fractions

1. Find the least common denominator or LCM of the two denominators:
   LCM of 84 and 35 is 420
   
   Next, find the equivalent fraction of both fractional numbers with denominator 420
2. For the 1st fraction, since 84 × 5 = 420,
   40/84 = 40 × 5/84 × 5 = 200/420
3. Likewise, for the 2nd fraction, since 35 × 12 = 420,
   27/35 = 27 × 12/35 × 12 = 324/420
4. Add the two like fractions:
   200/420 + 324/420 = 200 + 324/420 = 524/420
5. 524/420 simplified gives 131/105
6. So, 40/84 + 27/35 = 131/105
   In mixed form: 126/105

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