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Add 10/36 and 8/49

10/36 + 8/49 is 389/882.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 36 and 49 is 1764

    Next, find the equivalent fraction of both fractional numbers with denominator 1764
  2. For the 1st fraction, since 36 × 49 = 1764,
    10/36 = 10 × 49/36 × 49 = 490/1764
  3. Likewise, for the 2nd fraction, since 49 × 36 = 1764,
    8/49 = 8 × 36/49 × 36 = 288/1764
  4. Add the two like fractions:
    490/1764 + 288/1764 = 490 + 288/1764 = 778/1764
  5. 778/1764 simplified gives 389/882
  6. So, 10/36 + 8/49 = 389/882

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