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Add 75/20 and 42/45

1st number: 3 15/20, 2nd number: 42/45

75/20 + 42/45 is 281/60.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 45 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 20 × 9 = 180,
    75/20 = 75 × 9/20 × 9 = 675/180
  3. Likewise, for the 2nd fraction, since 45 × 4 = 180,
    42/45 = 42 × 4/45 × 4 = 168/180
  4. Add the two like fractions:
    675/180 + 168/180 = 675 + 168/180 = 843/180
  5. 843/180 simplified gives 281/60
  6. So, 75/20 + 42/45 = 281/60
    In mixed form: 441/60

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