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Add 49/14 and 40/75

1st number: 3 7/14, 2nd number: 40/75

49/14 + 40/75 is 121/30.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 14 × 75 = 1050,
    49/14 = 49 × 75/14 × 75 = 3675/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    40/75 = 40 × 14/75 × 14 = 560/1050
  4. Add the two like fractions:
    3675/1050 + 560/1050 = 3675 + 560/1050 = 4235/1050
  5. 4235/1050 simplified gives 121/30
  6. So, 49/14 + 40/75 = 121/30
    In mixed form: 41/30

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