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Add 40/45 and 9/14

40/45 + 9/14 is 193/126.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 14 is 630

    Next, find the equivalent fraction of both fractional numbers with denominator 630
  2. For the 1st fraction, since 45 × 14 = 630,
    40/45 = 40 × 14/45 × 14 = 560/630
  3. Likewise, for the 2nd fraction, since 14 × 45 = 630,
    9/14 = 9 × 45/14 × 45 = 405/630
  4. Add the two like fractions:
    560/630 + 405/630 = 560 + 405/630 = 965/630
  5. 965/630 simplified gives 193/126
  6. So, 40/45 + 9/14 = 193/126
    In mixed form: 167/126

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