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Add 10/30 and 4/42

10/30 + 4/42 is 3/7.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 30 × 7 = 210,
    10/30 = 10 × 7/30 × 7 = 70/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    4/42 = 4 × 5/42 × 5 = 20/210
  4. Add the two like fractions:
    70/210 + 20/210 = 70 + 20/210 = 90/210
  5. 90/210 simplified gives 3/7
  6. So, 10/30 + 4/42 = 3/7

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