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Add 45/75 and 42/49

45/75 + 42/49 is 51/35.

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,
    45/75 = 45 × 49/75 × 49 = 2205/3675
  3. Likewise, for the 2nd fraction, since 49 × 75 = 3675,
    42/49 = 42 × 75/49 × 75 = 3150/3675
  4. Add the two like fractions:
    2205/3675 + 3150/3675 = 2205 + 3150/3675 = 5355/3675
  5. 5355/3675 simplified gives 51/35
  6. So, 45/75 + 42/49 = 51/35
    In mixed form: 116/35

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