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Add 30/75 and 10/16

30/75 + 10/16 is 41/40.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 16 is 1200

    Next, find the equivalent fraction of both fractional numbers with denominator 1200
  2. For the 1st fraction, since 75 × 16 = 1200,
    30/75 = 30 × 16/75 × 16 = 480/1200
  3. Likewise, for the 2nd fraction, since 16 × 75 = 1200,
    10/16 = 10 × 75/16 × 75 = 750/1200
  4. Add the two like fractions:
    480/1200 + 750/1200 = 480 + 750/1200 = 1230/1200
  5. 1230/1200 simplified gives 41/40
  6. So, 30/75 + 10/16 = 41/40
    In mixed form: 11/40

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