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Add 40/75 and 21/32

40/75 + 21/32 is 571/480.

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,
    40/75 = 40 × 32/75 × 32 = 1280/2400
  3. Likewise, for the 2nd fraction, since 32 × 75 = 2400,
    21/32 = 21 × 75/32 × 75 = 1575/2400
  4. Add the two like fractions:
    1280/2400 + 1575/2400 = 1280 + 1575/2400 = 2855/2400
  5. 2855/2400 simplified gives 571/480
  6. So, 40/75 + 21/32 = 571/480
    In mixed form: 191/480

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