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Add 4/35 and 42/81

4/35 + 42/81 is 598/945.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 81 is 2835

    Next, find the equivalent fraction of both fractional numbers with denominator 2835
  2. For the 1st fraction, since 35 × 81 = 2835,
    4/35 = 4 × 81/35 × 81 = 324/2835
  3. Likewise, for the 2nd fraction, since 81 × 35 = 2835,
    42/81 = 42 × 35/81 × 35 = 1470/2835
  4. Add the two like fractions:
    324/2835 + 1470/2835 = 324 + 1470/2835 = 1794/2835
  5. 1794/2835 simplified gives 598/945
  6. So, 4/35 + 42/81 = 598/945

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