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Add 20/30 and 64/75

20/30 + 64/75 is 38/25.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 75 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 30 × 5 = 150,
    20/30 = 20 × 5/30 × 5 = 100/150
  3. Likewise, for the 2nd fraction, since 75 × 2 = 150,
    64/75 = 64 × 2/75 × 2 = 128/150
  4. Add the two like fractions:
    100/150 + 128/150 = 100 + 128/150 = 228/150
  5. 228/150 simplified gives 38/25
  6. So, 20/30 + 64/75 = 38/25
    In mixed form: 113/25

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