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Add 40/49 and 9/27

40/49 + 9/27 is 169/147.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 27 is 1323

    Next, find the equivalent fraction of both fractional numbers with denominator 1323
  2. For the 1st fraction, since 49 × 27 = 1323,
    40/49 = 40 × 27/49 × 27 = 1080/1323
  3. Likewise, for the 2nd fraction, since 27 × 49 = 1323,
    9/27 = 9 × 49/27 × 49 = 441/1323
  4. Add the two like fractions:
    1080/1323 + 441/1323 = 1080 + 441/1323 = 1521/1323
  5. 1521/1323 simplified gives 169/147
  6. So, 40/49 + 9/27 = 169/147
    In mixed form: 122/147

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