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Add 21/75 and 10/14

21/75 + 10/14 is 174/175.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 1050
  2. For the 1st fraction, since 75 × 14 = 1050,
    21/75 = 21 × 14/75 × 14 = 294/1050
  3. Likewise, for the 2nd fraction, since 14 × 75 = 1050,
    10/14 = 10 × 75/14 × 75 = 750/1050
  4. Add the two like fractions:
    294/1050 + 750/1050 = 294 + 750/1050 = 1044/1050
  5. 1044/1050 simplified gives 174/175
  6. So, 21/75 + 10/14 = 174/175

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