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Add 14/49 and 32/50

14/49 + 32/50 is 162/175.

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,
    14/49 = 14 × 50/49 × 50 = 700/2450
  3. Likewise, for the 2nd fraction, since 50 × 49 = 2450,
    32/50 = 32 × 49/50 × 49 = 1568/2450
  4. Add the two like fractions:
    700/2450 + 1568/2450 = 700 + 1568/2450 = 2268/2450
  5. 2268/2450 simplified gives 162/175
  6. So, 14/49 + 32/50 = 162/175

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