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Add 84/40 and 75/54

1st number: 2 4/40, 2nd number: 1 21/54

84/40 + 75/54 is 157/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 54 is 1080

    Next, find the equivalent fraction of both fractional numbers with denominator 1080
  2. For the 1st fraction, since 40 × 27 = 1080,
    84/40 = 84 × 27/40 × 27 = 2268/1080
  3. Likewise, for the 2nd fraction, since 54 × 20 = 1080,
    75/54 = 75 × 20/54 × 20 = 1500/1080
  4. Add the two like fractions:
    2268/1080 + 1500/1080 = 2268 + 1500/1080 = 3768/1080
  5. 3768/1080 simplified gives 157/45
  6. So, 84/40 + 75/54 = 157/45
    In mixed form: 322/45

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