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Add 9/40 and 75/45

1st number: 9/40, 2nd number: 1 30/45

9/40 + 75/45 is 227/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 45 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 40 × 9 = 360,
    9/40 = 9 × 9/40 × 9 = 81/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    75/45 = 75 × 8/45 × 8 = 600/360
  4. Add the two like fractions:
    81/360 + 600/360 = 81 + 600/360 = 681/360
  5. 681/360 simplified gives 227/120
  6. So, 9/40 + 75/45 = 227/120
    In mixed form: 1107/120

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