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Add 45/75 and 20/63

45/75 + 20/63 is 289/315.

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,
    45/75 = 45 × 21/75 × 21 = 945/1575
  3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
    20/63 = 20 × 25/63 × 25 = 500/1575
  4. Add the two like fractions:
    945/1575 + 500/1575 = 945 + 500/1575 = 1445/1575
  5. 1445/1575 simplified gives 289/315
  6. So, 45/75 + 20/63 = 289/315

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