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Add 40/75 and 7/8

40/75 + 7/8 is 169/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 8 is 600

    Next, find the equivalent fraction of both fractional numbers with denominator 600
  2. For the 1st fraction, since 75 × 8 = 600,
    40/75 = 40 × 8/75 × 8 = 320/600
  3. Likewise, for the 2nd fraction, since 8 × 75 = 600,
    7/8 = 7 × 75/8 × 75 = 525/600
  4. Add the two like fractions:
    320/600 + 525/600 = 320 + 525/600 = 845/600
  5. 845/600 simplified gives 169/120
  6. So, 40/75 + 7/8 = 169/120
    In mixed form: 149/120

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