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Add 30/40 and 24/75

30/40 + 24/75 is 107/100.

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,
    30/40 = 30 × 15/40 × 15 = 450/600
  3. Likewise, for the 2nd fraction, since 75 × 8 = 600,
    24/75 = 24 × 8/75 × 8 = 192/600
  4. Add the two like fractions:
    450/600 + 192/600 = 450 + 192/600 = 642/600
  5. 642/600 simplified gives 107/100
  6. So, 30/40 + 24/75 = 107/100
    In mixed form: 17/100

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