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Add 8/14 and 49/75

8/14 + 49/75 is 643/525.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 75 is 1050

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 14 × 75 = 1050,
    8/14 = 8 × 75/14 × 75 = 600/1050
  3. Likewise, for the 2nd fraction, since 75 × 14 = 1050,
    49/75 = 49 × 14/75 × 14 = 686/1050
  4. Add the two like fractions:
    600/1050 + 686/1050 = 600 + 686/1050 = 1286/1050
  5. 1286/1050 simplified gives 643/525
  6. So, 8/14 + 49/75 = 643/525
    In mixed form: 1118/525

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