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Add 27/45 and 3/7

27/45 + 3/7 is 36/35.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 7 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    27/45 = 27 × 7/45 × 7 = 189/315
  3. Likewise, for the 2nd fraction, since 7 × 45 = 315,
    3/7 = 3 × 45/7 × 45 = 135/315
  4. Add the two like fractions:
    189/315 + 135/315 = 189 + 135/315 = 324/315
  5. 324/315 simplified gives 36/35
  6. So, 27/45 + 3/7 = 36/35
    In mixed form: 11/35

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