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Add 3/42 and 30/40

3/42 + 30/40 is 23/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 40 is 840
  2. For the 1st fraction, since 42 × 20 = 840,
    3/42 = 3 × 20/42 × 20 = 60/840
  3. Likewise, for the 2nd fraction, since 40 × 21 = 840,
    30/40 = 30 × 21/40 × 21 = 630/840
  4. Add the two fractions:
    60/840 + 630/840 = 60 + 630/840 = 690/840
  5. 690/840 simplified gives 23/28
  6. So, 3/42 + 30/40 = 23/28

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