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Add 35/42 and 4/10

35/42 + 4/10 is 37/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 10 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 42 × 5 = 210,
    35/42 = 35 × 5/42 × 5 = 175/210
  3. Likewise, for the 2nd fraction, since 10 × 21 = 210,
    4/10 = 4 × 21/10 × 21 = 84/210
  4. Add the two like fractions:
    175/210 + 84/210 = 175 + 84/210 = 259/210
  5. 259/210 simplified gives 37/30
  6. So, 35/42 + 4/10 = 37/30
    In mixed form: 17/30

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