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Add 10/27 and 20/42

10/27 + 20/42 is 160/189.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 42 is 378

    Next, find the equivalent fraction of both fractional numbers with denominator 378
  2. For the 1st fraction, since 27 × 14 = 378,
    10/27 = 10 × 14/27 × 14 = 140/378
  3. Likewise, for the 2nd fraction, since 42 × 9 = 378,
    20/42 = 20 × 9/42 × 9 = 180/378
  4. Add the two like fractions:
    140/378 + 180/378 = 140 + 180/378 = 320/378
  5. 320/378 simplified gives 160/189
  6. So, 10/27 + 20/42 = 160/189

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