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Add 8/27 and 40/70

8/27 + 40/70 is 164/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 70 is 1890

    Next, find the equivalent fraction of both fractional numbers with denominator 1890
  2. For the 1st fraction, since 27 × 70 = 1890,
    8/27 = 8 × 70/27 × 70 = 560/1890
  3. Likewise, for the 2nd fraction, since 70 × 27 = 1890,
    40/70 = 40 × 27/70 × 27 = 1080/1890
  4. Add the two like fractions:
    560/1890 + 1080/1890 = 560 + 1080/1890 = 1640/1890
  5. 1640/1890 simplified gives 164/189
  6. So, 8/27 + 40/70 = 164/189

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