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Add 75/42 and 20/45

1st number: 1 33/42, 2nd number: 20/45

75/42 + 20/45 is 281/126.

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,
    75/42 = 75 × 15/42 × 15 = 1125/630
  3. Likewise, for the 2nd fraction, since 45 × 14 = 630,
    20/45 = 20 × 14/45 × 14 = 280/630
  4. Add the two like fractions:
    1125/630 + 280/630 = 1125 + 280/630 = 1405/630
  5. 1405/630 simplified gives 281/126
  6. So, 75/42 + 20/45 = 281/126
    In mixed form: 229/126

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