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Add 75/90 and 18/40

75/90 + 18/40 is 77/60.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 90 and 40 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 90 × 4 = 360,
    75/90 = 75 × 4/90 × 4 = 300/360
  3. Likewise, for the 2nd fraction, since 40 × 9 = 360,
    18/40 = 18 × 9/40 × 9 = 162/360
  4. Add the two like fractions:
    300/360 + 162/360 = 300 + 162/360 = 462/360
  5. 462/360 simplified gives 77/60
  6. So, 75/90 + 18/40 = 77/60
    In mixed form: 117/60

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