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Add 14/21 and 8/45

14/21 + 8/45 is 38/45.

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,
    14/21 = 14 × 15/21 × 15 = 210/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    8/45 = 8 × 7/45 × 7 = 56/315
  4. Add the two like fractions:
    210/315 + 56/315 = 210 + 56/315 = 266/315
  5. 266/315 simplified gives 38/45
  6. So, 14/21 + 8/45 = 38/45

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