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Add 84/21 and 42/45

1st number: 4 0/21, 2nd number: 42/45

84/21 + 42/45 is 74/15.

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,
    84/21 = 84 × 15/21 × 15 = 1260/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    42/45 = 42 × 7/45 × 7 = 294/315
  4. Add the two like fractions:
    1260/315 + 294/315 = 1260 + 294/315 = 1554/315
  5. 1554/315 simplified gives 74/15
  6. So, 84/21 + 42/45 = 74/15
    In mixed form: 414/15

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