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Add 27/40 and 7/35

27/40 + 7/35 is 7/8.

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,
    7/35 = 7 × 8/35 × 8 = 56/280
  4. Add the two like fractions:
    189/280 + 56/280 = 189 + 56/280 = 245/280
  5. 245/280 simplified gives 7/8
  6. So, 27/40 + 7/35 = 7/8

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