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Add 30/70 and 40/42

30/70 + 40/42 is 29/21.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 70 and 42 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 70 × 3 = 210,
    30/70 = 30 × 3/70 × 3 = 90/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    40/42 = 40 × 5/42 × 5 = 200/210
  4. Add the two like fractions:
    90/210 + 200/210 = 90 + 200/210 = 290/210
  5. 290/210 simplified gives 29/21
  6. So, 30/70 + 40/42 = 29/21
    In mixed form: 18/21

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