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Add 49/84 and 42/50

49/84 + 42/50 is 427/300.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 50 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 84 × 25 = 2100,
    49/84 = 49 × 25/84 × 25 = 1225/2100
  3. Likewise, for the 2nd fraction, since 50 × 42 = 2100,
    42/50 = 42 × 42/50 × 42 = 1764/2100
  4. Add the two like fractions:
    1225/2100 + 1764/2100 = 1225 + 1764/2100 = 2989/2100
  5. 2989/2100 simplified gives 427/300
  6. So, 49/84 + 42/50 = 427/300
    In mixed form: 1127/300

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