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Add 3/40 and 7/42

3/40 + 7/42 is 29/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 42 is 840

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 40 × 21 = 840,
    3/40 = 3 × 21/40 × 21 = 63/840
  3. Likewise, for the 2nd fraction, since 42 × 20 = 840,
    7/42 = 7 × 20/42 × 20 = 140/840
  4. Add the two like fractions:
    63/840 + 140/840 = 63 + 140/840 = 203/840
  5. 203/840 simplified gives 29/120
  6. So, 3/40 + 7/42 = 29/120

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