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Add 10/49 and 30/50

10/49 + 30/50 is 197/245.

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,
    10/49 = 10 × 50/49 × 50 = 500/2450
  3. Likewise, for the 2nd fraction, since 50 × 49 = 2450,
    30/50 = 30 × 49/50 × 49 = 1470/2450
  4. Add the two like fractions:
    500/2450 + 1470/2450 = 500 + 1470/2450 = 1970/2450
  5. 1970/2450 simplified gives 197/245
  6. So, 10/49 + 30/50 = 197/245

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