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Add 20/21 and 20/40

20/21 + 20/40 is 61/42.

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,
    20/21 = 20 × 40/21 × 40 = 800/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    20/40 = 20 × 21/40 × 21 = 420/840
  4. Add the two like fractions:
    800/840 + 420/840 = 800 + 420/840 = 1220/840
  5. 1220/840 simplified gives 61/42
  6. So, 20/21 + 20/40 = 61/42
    In mixed form: 119/42

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