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Add 40/75 and 4/14

40/75 + 4/14 is 86/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 14 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    40/75 = 40 × 14/75 × 14 = 560/1050
  3. Likewise, for the 2nd fraction, since 14 × 75 = 1050,
    4/14 = 4 × 75/14 × 75 = 300/1050
  4. Add the two like fractions:
    560/1050 + 300/1050 = 560 + 300/1050 = 860/1050
  5. 860/1050 simplified gives 86/105
  6. So, 40/75 + 4/14 = 86/105

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