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Add 18/21 and 30/40

18/21 + 30/40 is 45/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 40 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 21 × 40 = 840,
    18/21 = 18 × 40/21 × 40 = 720/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    30/40 = 30 × 21/40 × 21 = 630/840
  4. Add the two like fractions:
    720/840 + 630/840 = 720 + 630/840 = 1350/840
  5. 1350/840 simplified gives 45/28
  6. So, 18/21 + 30/40 = 45/28
    In mixed form: 117/28

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