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Add 10/30 and 3/49

10/30 + 3/49 is 58/147.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1470
  2. For the 1st fraction, since 30 × 49 = 1470,
    10/30 = 10 × 49/30 × 49 = 490/1470
  3. Likewise, for the 2nd fraction, since 49 × 30 = 1470,
    3/49 = 3 × 30/49 × 30 = 90/1470
  4. Add the two like fractions:
    490/1470 + 90/1470 = 490 + 90/1470 = 580/1470
  5. 580/1470 simplified gives 58/147
  6. So, 10/30 + 3/49 = 58/147

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