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Add 10/75 and 35/80

10/75 + 35/80 is 137/240.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 80 is 1200

    Next, find the equivalent fraction of both fractional numbers with denominator 1200
  2. For the 1st fraction, since 75 × 16 = 1200,
    10/75 = 10 × 16/75 × 16 = 160/1200
  3. Likewise, for the 2nd fraction, since 80 × 15 = 1200,
    35/80 = 35 × 15/80 × 15 = 525/1200
  4. Add the two like fractions:
    160/1200 + 525/1200 = 160 + 525/1200 = 685/1200
  5. 685/1200 simplified gives 137/240
  6. So, 10/75 + 35/80 = 137/240

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