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Add 30/75 and 21/63

30/75 + 21/63 is 11/15.

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,
    30/75 = 30 × 21/75 × 21 = 630/1575
  3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
    21/63 = 21 × 25/63 × 25 = 525/1575
  4. Add the two like fractions:
    630/1575 + 525/1575 = 630 + 525/1575 = 1155/1575
  5. 1155/1575 simplified gives 11/15
  6. So, 30/75 + 21/63 = 11/15

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