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Add 10/49 and 10/50

10/49 + 10/50 is 99/245.

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,
    10/50 = 10 × 49/50 × 49 = 490/2450
  4. Add the two like fractions:
    500/2450 + 490/2450 = 500 + 490/2450 = 990/2450
  5. 990/2450 simplified gives 99/245
  6. So, 10/49 + 10/50 = 99/245

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