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Add 49/21 and 2/45

1st number: 2 7/21, 2nd number: 2/45

49/21 + 2/45 is 107/45.

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,
    49/21 = 49 × 15/21 × 15 = 735/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    2/45 = 2 × 7/45 × 7 = 14/315
  4. Add the two like fractions:
    735/315 + 14/315 = 735 + 14/315 = 749/315
  5. 749/315 simplified gives 107/45
  6. So, 49/21 + 2/45 = 107/45
    In mixed form: 217/45

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