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Add 45/75 and 1/84

45/75 + 1/84 is 257/420.

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,
    45/75 = 45 × 28/75 × 28 = 1260/2100
  3. Likewise, for the 2nd fraction, since 84 × 25 = 2100,
    1/84 = 1 × 25/84 × 25 = 25/2100
  4. Add the two like fractions:
    1260/2100 + 25/2100 = 1260 + 25/2100 = 1285/2100
  5. 1285/2100 simplified gives 257/420
  6. So, 45/75 + 1/84 = 257/420

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