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Add 10/45 and 12/49

10/45 + 12/49 is 206/441.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 49 is 2205

    Next, find the equivalent fraction of both fractional numbers with denominator 2205
  2. For the 1st fraction, since 45 × 49 = 2205,
    10/45 = 10 × 49/45 × 49 = 490/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    12/49 = 12 × 45/49 × 45 = 540/2205
  4. Add the two like fractions:
    490/2205 + 540/2205 = 490 + 540/2205 = 1030/2205
  5. 1030/2205 simplified gives 206/441
  6. So, 10/45 + 12/49 = 206/441

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