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Add 30/40 and 40/70

30/40 + 40/70 is 37/28.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 70 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 40 × 7 = 280,
    30/40 = 30 × 7/40 × 7 = 210/280
  3. Likewise, for the 2nd fraction, since 70 × 4 = 280,
    40/70 = 40 × 4/70 × 4 = 160/280
  4. Add the two like fractions:
    210/280 + 160/280 = 210 + 160/280 = 370/280
  5. 370/280 simplified gives 37/28
  6. So, 30/40 + 40/70 = 37/28
    In mixed form: 19/28

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