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Add 40/45 and 45/50

40/45 + 45/50 is 161/90.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 50 is 450

    Next, find the equivalent fraction of both fractional numbers with denominator 450
  2. For the 1st fraction, since 45 × 10 = 450,
    40/45 = 40 × 10/45 × 10 = 400/450
  3. Likewise, for the 2nd fraction, since 50 × 9 = 450,
    45/50 = 45 × 9/50 × 9 = 405/450
  4. Add the two like fractions:
    400/450 + 405/450 = 400 + 405/450 = 805/450
  5. 805/450 simplified gives 161/90
  6. So, 40/45 + 45/50 = 161/90
    In mixed form: 171/90

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