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Add 70/75 and 27/40

70/75 + 27/40 is 193/120.

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,
    70/75 = 70 × 8/75 × 8 = 560/600
  3. Likewise, for the 2nd fraction, since 40 × 15 = 600,
    27/40 = 27 × 15/40 × 15 = 405/600
  4. Add the two like fractions:
    560/600 + 405/600 = 560 + 405/600 = 965/600
  5. 965/600 simplified gives 193/120
  6. So, 70/75 + 27/40 = 193/120
    In mixed form: 173/120

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