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Add 40/56 and 30/36

40/56 + 30/36 is 65/42.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 56 and 36 is 504

    Next, find the equivalent fraction of both fractional numbers with denominator 504
  2. For the 1st fraction, since 56 × 9 = 504,
    40/56 = 40 × 9/56 × 9 = 360/504
  3. Likewise, for the 2nd fraction, since 36 × 14 = 504,
    30/36 = 30 × 14/36 × 14 = 420/504
  4. Add the two like fractions:
    360/504 + 420/504 = 360 + 420/504 = 780/504
  5. 780/504 simplified gives 65/42
  6. So, 40/56 + 30/36 = 65/42
    In mixed form: 123/42

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