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Add 30/40 and 30/42

30/40 + 30/42 is 41/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 42 is 840
  2. For the 1st fraction, since 40 × 21 = 840,
    30/40 = 30 × 21/40 × 21 = 630/840
  3. Likewise, for the 2nd fraction, since 42 × 20 = 840,
    30/42 = 30 × 20/42 × 20 = 600/840
  4. Add the two fractions:
    630/840 + 600/840 = 630 + 600/840 = 1230/840
  5. 1230/840 simplified gives 41/28
  6. So, 30/40 + 30/42 = 41/28
    In mixed form: 113/28

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