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Add 4/27 and 42/49

4/27 + 42/49 is 190/189.

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,
    4/27 = 4 × 49/27 × 49 = 196/1323
  3. Likewise, for the 2nd fraction, since 49 × 27 = 1323,
    42/49 = 42 × 27/49 × 27 = 1134/1323
  4. Add the two like fractions:
    196/1323 + 1134/1323 = 196 + 1134/1323 = 1330/1323
  5. 1330/1323 simplified gives 190/189
  6. So, 4/27 + 42/49 = 190/189
    In mixed form: 11/189

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