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Add 27/40 and 2/35

27/40 + 2/35 is 41/56.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 35 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 40 × 7 = 280,
    27/40 = 27 × 7/40 × 7 = 189/280
  3. Likewise, for the 2nd fraction, since 35 × 8 = 280,
    2/35 = 2 × 8/35 × 8 = 16/280
  4. Add the two like fractions:
    189/280 + 16/280 = 189 + 16/280 = 205/280
  5. 205/280 simplified gives 41/56
  6. So, 27/40 + 2/35 = 41/56

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