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Add 20/21 and 35/45

20/21 + 35/45 is 109/63.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 21 and 45 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 21 × 15 = 315,
    20/21 = 20 × 15/21 × 15 = 300/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    35/45 = 35 × 7/45 × 7 = 245/315
  4. Add the two like fractions:
    300/315 + 245/315 = 300 + 245/315 = 545/315
  5. 545/315 simplified gives 109/63
  6. So, 20/21 + 35/45 = 109/63
    In mixed form: 146/63

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