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Add 5/49 and 30/50

5/49 + 30/50 is 172/245.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 50 is 2450
  2. For the 1st fraction, since 49 × 50 = 2450,
    5/49 = 5 × 50/49 × 50 = 250/2450
  3. Likewise, for the 2nd fraction, since 50 × 49 = 2450,
    30/50 = 30 × 49/50 × 49 = 1470/2450
  4. Add the two fractions:
    250/2450 + 1470/2450 = 250 + 1470/2450 = 1720/2450
  5. 1720/2450 simplified gives 172/245
  6. So, 5/49 + 30/50 = 172/245

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