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Add 20/75 and 42/84

20/75 + 42/84 is 23/30.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 84 is 2100

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 75 × 28 = 2100,
    20/75 = 20 × 28/75 × 28 = 560/2100
  3. Likewise, for the 2nd fraction, since 84 × 25 = 2100,
    42/84 = 42 × 25/84 × 25 = 1050/2100
  4. Add the two like fractions:
    560/2100 + 1050/2100 = 560 + 1050/2100 = 1610/2100
  5. 1610/2100 simplified gives 23/30
  6. So, 20/75 + 42/84 = 23/30

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