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Add 30/49 and 35/50

30/49 + 35/50 is 643/490.

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,
    30/49 = 30 × 50/49 × 50 = 1500/2450
  3. Likewise, for the 2nd fraction, since 50 × 49 = 2450,
    35/50 = 35 × 49/50 × 49 = 1715/2450
  4. Add the two like fractions:
    1500/2450 + 1715/2450 = 1500 + 1715/2450 = 3215/2450
  5. 3215/2450 simplified gives 643/490
  6. So, 30/49 + 35/50 = 643/490
    In mixed form: 1153/490

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