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Add 3/49 and 20/30

3/49 + 20/30 is 107/147.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 30 is 1470

    Next, find the equivalent fraction of both fractional numbers with denominator 1470
  2. For the 1st fraction, since 49 × 30 = 1470,
    3/49 = 3 × 30/49 × 30 = 90/1470
  3. Likewise, for the 2nd fraction, since 30 × 49 = 1470,
    20/30 = 20 × 49/30 × 49 = 980/1470
  4. Add the two like fractions:
    90/1470 + 980/1470 = 90 + 980/1470 = 1070/1470
  5. 1070/1470 simplified gives 107/147
  6. So, 3/49 + 20/30 = 107/147

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