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Add 40/49 and 28/36

40/49 + 28/36 is 703/441.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1764
  2. For the 1st fraction, since 49 × 36 = 1764,
    40/49 = 40 × 36/49 × 36 = 1440/1764
  3. Likewise, for the 2nd fraction, since 36 × 49 = 1764,
    28/36 = 28 × 49/36 × 49 = 1372/1764
  4. Add the two like fractions:
    1440/1764 + 1372/1764 = 1440 + 1372/1764 = 2812/1764
  5. 2812/1764 simplified gives 703/441
  6. So, 40/49 + 28/36 = 703/441
    In mixed form: 1262/441

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