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Add 8/75 and 30/63

8/75 + 30/63 is 102/175.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 63 is 1575

    Next, find the equivalent fraction of both fractional numbers with denominator 1575
  2. For the 1st fraction, since 75 × 21 = 1575,
    8/75 = 8 × 21/75 × 21 = 168/1575
  3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
    30/63 = 30 × 25/63 × 25 = 750/1575
  4. Add the two like fractions:
    168/1575 + 750/1575 = 168 + 750/1575 = 918/1575
  5. 918/1575 simplified gives 102/175
  6. So, 8/75 + 30/63 = 102/175

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