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Add 30/42 and 21/40

30/42 + 21/40 is 347/280.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 840
  2. For the 1st fraction, since 42 × 20 = 840,
    30/42 = 30 × 20/42 × 20 = 600/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    21/40 = 21 × 21/40 × 21 = 441/840
  4. Add the two like fractions:
    600/840 + 441/840 = 600 + 441/840 = 1041/840
  5. 1041/840 simplified gives 347/280
  6. So, 30/42 + 21/40 = 347/280
    In mixed form: 167/280

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