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Add 27/40 and 35/75

27/40 + 35/75 is 137/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 75 is 600

    Next, find the equivalent fraction of both fractional numbers with denominator 600
  2. For the 1st fraction, since 40 × 15 = 600,
    27/40 = 27 × 15/40 × 15 = 405/600
  3. Likewise, for the 2nd fraction, since 75 × 8 = 600,
    35/75 = 35 × 8/75 × 8 = 280/600
  4. Add the two like fractions:
    405/600 + 280/600 = 405 + 280/600 = 685/600
  5. 685/600 simplified gives 137/120
  6. So, 27/40 + 35/75 = 137/120
    In mixed form: 117/120

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