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Add 21/49 and 16/50

21/49 + 16/50 is 131/175.

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,
    21/49 = 21 × 50/49 × 50 = 1050/2450
  3. Likewise, for the 2nd fraction, since 50 × 49 = 2450,
    16/50 = 16 × 49/50 × 49 = 784/2450
  4. Add the two like fractions:
    1050/2450 + 784/2450 = 1050 + 784/2450 = 1834/2450
  5. 1834/2450 simplified gives 131/175
  6. So, 21/49 + 16/50 = 131/175

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