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Add 4/49 and 14/50

4/49 + 14/50 is 443/1225.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 50 is 2450

    Next, find the equivalent fraction of both fractional numbers with denominator 2450
  2. For the 1st fraction, since 49 × 50 = 2450,
    4/49 = 4 × 50/49 × 50 = 200/2450
  3. Likewise, for the 2nd fraction, since 50 × 49 = 2450,
    14/50 = 14 × 49/50 × 49 = 686/2450
  4. Add the two like fractions:
    200/2450 + 686/2450 = 200 + 686/2450 = 886/2450
  5. 886/2450 simplified gives 443/1225
  6. So, 4/49 + 14/50 = 443/1225

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