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Add 18/30 and 30/40

18/30 + 30/40 is 27/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 30 and 40 is 120

    Next, find the equivalent fraction of both fractional numbers with denominator 120
  2. For the 1st fraction, since 30 × 4 = 120,
    18/30 = 18 × 4/30 × 4 = 72/120
  3. Likewise, for the 2nd fraction, since 40 × 3 = 120,
    30/40 = 30 × 3/40 × 3 = 90/120
  4. Add the two like fractions:
    72/120 + 90/120 = 72 + 90/120 = 162/120
  5. 162/120 simplified gives 27/20
  6. So, 18/30 + 30/40 = 27/20
    In mixed form: 17/20

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