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Add 40/27 and 42/49

1st number: 1 13/27, 2nd number: 42/49

40/27 + 42/49 is 442/189.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1323
  2. For the 1st fraction, since 27 × 49 = 1323,
    40/27 = 40 × 49/27 × 49 = 1960/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    42/49 = 42 × 27/49 × 27 = 1134/1323
  4. Add the two like fractions:
    1960/1323 + 1134/1323 = 1960 + 1134/1323 = 3094/1323
  5. 3094/1323 simplified gives 442/189
  6. So, 40/27 + 42/49 = 442/189
    In mixed form: 264/189

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