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Add 1/10 and 40/75

1/10 + 40/75 is 19/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 75 is 150

    Next, find the equivalent fraction of both fractional numbers with denominator 150
  2. For the 1st fraction, since 10 × 15 = 150,
    1/10 = 1 × 15/10 × 15 = 15/150
  3. Likewise, for the 2nd fraction, since 75 × 2 = 150,
    40/75 = 40 × 2/75 × 2 = 80/150
  4. Add the two like fractions:
    15/150 + 80/150 = 15 + 80/150 = 95/150
  5. 95/150 simplified gives 19/30
  6. So, 1/10 + 40/75 = 19/30

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