Answers

Add 40/84 and 7/35

40/84 + 7/35 is 71/105.

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,
   7/35 = 7 × 12/35 × 12 = 84/420
4. Add the two like fractions:
   200/420 + 84/420 = 200 + 84/420 = 284/420
5. 284/420 simplified gives 71/105
6. So, 40/84 + 7/35 = 71/105

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