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Add 27/42 and 10/30

27/42 + 10/30 is 41/42.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 30 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 42 × 5 = 210,
    27/42 = 27 × 5/42 × 5 = 135/210
  3. Likewise, for the 2nd fraction, since 30 × 7 = 210,
    10/30 = 10 × 7/30 × 7 = 70/210
  4. Add the two like fractions:
    135/210 + 70/210 = 135 + 70/210 = 205/210
  5. 205/210 simplified gives 41/42
  6. So, 27/42 + 10/30 = 41/42

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