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Add 10/75 and 21/63

10/75 + 21/63 is 7/15.

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,
    10/75 = 10 × 21/75 × 21 = 210/1575
  3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
    21/63 = 21 × 25/63 × 25 = 525/1575
  4. Add the two like fractions:
    210/1575 + 525/1575 = 210 + 525/1575 = 735/1575
  5. 735/1575 simplified gives 7/15
  6. So, 10/75 + 21/63 = 7/15

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