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Add 1/42 and 20/75

1/42 + 20/75 is 61/210.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 75 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 42 × 25 = 1050,
    1/42 = 1 × 25/42 × 25 = 25/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    20/75 = 20 × 14/75 × 14 = 280/1050
  4. Add the two like fractions:
    25/1050 + 280/1050 = 25 + 280/1050 = 305/1050
  5. 305/1050 simplified gives 61/210
  6. So, 1/42 + 20/75 = 61/210

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