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Add 9/84 and 20/75

9/84 + 20/75 is 157/420.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2100
  2. For the 1st fraction, since 84 × 25 = 2100,
    9/84 = 9 × 25/84 × 25 = 225/2100
  3. Likewise, for the 2nd fraction, since 75 × 28 = 2100,
    20/75 = 20 × 28/75 × 28 = 560/2100
  4. Add the two like fractions:
    225/2100 + 560/2100 = 225 + 560/2100 = 785/2100
  5. 785/2100 simplified gives 157/420
  6. So, 9/84 + 20/75 = 157/420

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