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Add 3/40 and 24/45

3/40 + 24/45 is 73/120.

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,
    3/40 = 3 × 9/40 × 9 = 27/360
  3. Likewise, for the 2nd fraction, since 45 × 8 = 360,
    24/45 = 24 × 8/45 × 8 = 192/360
  4. Add the two like fractions:
    27/360 + 192/360 = 27 + 192/360 = 219/360
  5. 219/360 simplified gives 73/120
  6. So, 3/40 + 24/45 = 73/120

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