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Add 14/21 and 42/45

14/21 + 42/45 is 8/5.

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,
    42/45 = 42 × 7/45 × 7 = 294/315
  4. Add the two like fractions:
    210/315 + 294/315 = 210 + 294/315 = 504/315
  5. 504/315 simplified gives 8/5
  6. So, 14/21 + 42/45 = 8/5
    In mixed form: 13/5

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