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Add 45/18 and 40/21

1st number: 2 9/18, 2nd number: 1 19/21

45/18 + 40/21 is 185/42.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 18 and 21 is 126

    Next, find the equivalent fraction of both fractional numbers with denominator 126
  2. For the 1st fraction, since 18 × 7 = 126,
    45/18 = 45 × 7/18 × 7 = 315/126
  3. Likewise, for the 2nd fraction, since 21 × 6 = 126,
    40/21 = 40 × 6/21 × 6 = 240/126
  4. Add the two like fractions:
    315/126 + 240/126 = 315 + 240/126 = 555/126
  5. 555/126 simplified gives 185/42
  6. So, 45/18 + 40/21 = 185/42
    In mixed form: 417/42

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