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Add 30/75 and 10/40

30/75 + 10/40 is 13/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 40 is 600

    Next, find the equivalent fraction of both fractional numbers with denominator 600
  2. For the 1st fraction, since 75 × 8 = 600,
    30/75 = 30 × 8/75 × 8 = 240/600
  3. Likewise, for the 2nd fraction, since 40 × 15 = 600,
    10/40 = 10 × 15/40 × 15 = 150/600
  4. Add the two like fractions:
    240/600 + 150/600 = 240 + 150/600 = 390/600
  5. 390/600 simplified gives 13/20
  6. So, 30/75 + 10/40 = 13/20

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