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Add 40/90 and 64/75

40/90 + 64/75 is 292/225.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 90 and 75 is 450

    Next, find the equivalent fraction of both fractional numbers with denominator 450
  2. For the 1st fraction, since 90 × 5 = 450,
    40/90 = 40 × 5/90 × 5 = 200/450
  3. Likewise, for the 2nd fraction, since 75 × 6 = 450,
    64/75 = 64 × 6/75 × 6 = 384/450
  4. Add the two like fractions:
    200/450 + 384/450 = 200 + 384/450 = 584/450
  5. 584/450 simplified gives 292/225
  6. So, 40/90 + 64/75 = 292/225
    In mixed form: 167/225

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