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Add 4/10 and 49/75

4/10 + 49/75 is 79/75.

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,
    4/10 = 4 × 15/10 × 15 = 60/150
  3. Likewise, for the 2nd fraction, since 75 × 2 = 150,
    49/75 = 49 × 2/75 × 2 = 98/150
  4. Add the two like fractions:
    60/150 + 98/150 = 60 + 98/150 = 158/150
  5. 158/150 simplified gives 79/75
  6. So, 4/10 + 49/75 = 79/75
    In mixed form: 14/75

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