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Add 12/21 and 7/40

12/21 + 7/40 is 209/280.

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,
    12/21 = 12 × 40/21 × 40 = 480/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    7/40 = 7 × 21/40 × 21 = 147/840
  4. Add the two like fractions:
    480/840 + 147/840 = 480 + 147/840 = 627/840
  5. 627/840 simplified gives 209/280
  6. So, 12/21 + 7/40 = 209/280

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