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Add 40/42 and 3/45

40/42 + 3/45 is 107/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 42 and 45 is 630

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 42 × 15 = 630,
    40/42 = 40 × 15/42 × 15 = 600/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    3/45 = 3 × 14/45 × 14 = 42/630
  4. Add the two like fractions:
    600/630 + 42/630 = 600 + 42/630 = 642/630
  5. 642/630 simplified gives 107/105
  6. So, 40/42 + 3/45 = 107/105
    In mixed form: 12/105

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