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Add 1/75 and 42/49

1/75 + 42/49 is 457/525.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 49 is 3675

    Next, find the equivalent fraction of both fractional numbers with denominator 3675
  2. For the 1st fraction, since 75 × 49 = 3675,
    1/75 = 1 × 49/75 × 49 = 49/3675
  3. Likewise, for the 2nd fraction, since 49 × 75 = 3675,
    42/49 = 42 × 75/49 × 75 = 3150/3675
  4. Add the two like fractions:
    49/3675 + 3150/3675 = 49 + 3150/3675 = 3199/3675
  5. 3199/3675 simplified gives 457/525
  6. So, 1/75 + 42/49 = 457/525

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