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Add 45/75 and 20/32

45/75 + 20/32 is 49/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 32 is 2400

    Next, find the equivalent fraction of both fractional numbers with denominator 2400
  2. For the 1st fraction, since 75 × 32 = 2400,
    45/75 = 45 × 32/75 × 32 = 1440/2400
  3. Likewise, for the 2nd fraction, since 32 × 75 = 2400,
    20/32 = 20 × 75/32 × 75 = 1500/2400
  4. Add the two like fractions:
    1440/2400 + 1500/2400 = 1440 + 1500/2400 = 2940/2400
  5. 2940/2400 simplified gives 49/40
  6. So, 45/75 + 20/32 = 49/40
    In mixed form: 19/40

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