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Add 27/70 and 28/40

27/70 + 28/40 is 38/35.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 70 × 4 = 280,
    27/70 = 27 × 4/70 × 4 = 108/280
  3. Likewise, for the 2nd fraction, since 40 × 7 = 280,
    28/40 = 28 × 7/40 × 7 = 196/280
  4. Add the two like fractions:
    108/280 + 196/280 = 108 + 196/280 = 304/280
  5. 304/280 simplified gives 38/35
  6. So, 27/70 + 28/40 = 38/35
    In mixed form: 13/35

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