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Add 3/84 and 75/45

1st number: 3/84, 2nd number: 1 30/45

3/84 + 75/45 is 143/84.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 45 is 1260

    Next, find the equivalent fraction of both fractional numbers with denominator 1260
  2. For the 1st fraction, since 84 × 15 = 1260,
    3/84 = 3 × 15/84 × 15 = 45/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    75/45 = 75 × 28/45 × 28 = 2100/1260
  4. Add the two like fractions:
    45/1260 + 2100/1260 = 45 + 2100/1260 = 2145/1260
  5. 2145/1260 simplified gives 143/84
  6. So, 3/84 + 75/45 = 143/84
    In mixed form: 159/84

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