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Add 4/15 and 36/42

4/15 + 36/42 is 118/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 15 and 42 is 210

    Next, find the equivalent fraction of both fractional numbers with denominator 210
  2. For the 1st fraction, since 15 × 14 = 210,
    4/15 = 4 × 14/15 × 14 = 56/210
  3. Likewise, for the 2nd fraction, since 42 × 5 = 210,
    36/42 = 36 × 5/42 × 5 = 180/210
  4. Add the two like fractions:
    56/210 + 180/210 = 56 + 180/210 = 236/210
  5. 236/210 simplified gives 118/105
  6. So, 4/15 + 36/42 = 118/105
    In mixed form: 113/105

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