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Add 35/75 and 27/40

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

Steps for adding fractions

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

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

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