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Add 3/21 and 21/45

3/21 + 21/45 is 64/105.

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,
    3/21 = 3 × 15/21 × 15 = 45/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    21/45 = 21 × 7/45 × 7 = 147/315
  4. Add the two like fractions:
    45/315 + 147/315 = 45 + 147/315 = 192/315
  5. 192/315 simplified gives 64/105
  6. So, 3/21 + 21/45 = 64/105

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