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Add 30/40 and 40/50

30/40 + 40/50 is 31/20.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 50 is 200

    Next, find the equivalent fraction of both fractional numbers with denominator 200
  2. For the 1st fraction, since 40 × 5 = 200,
    30/40 = 30 × 5/40 × 5 = 150/200
  3. Likewise, for the 2nd fraction, since 50 × 4 = 200,
    40/50 = 40 × 4/50 × 4 = 160/200
  4. Add the two like fractions:
    150/200 + 160/200 = 150 + 160/200 = 310/200
  5. 310/200 simplified gives 31/20
  6. So, 30/40 + 40/50 = 31/20
    In mixed form: 111/20

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