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Add 45/84 and 42/45

45/84 + 42/45 is 617/420.

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,
    45/84 = 45 × 15/84 × 15 = 675/1260
  3. Likewise, for the 2nd fraction, since 45 × 28 = 1260,
    42/45 = 42 × 28/45 × 28 = 1176/1260
  4. Add the two like fractions:
    675/1260 + 1176/1260 = 675 + 1176/1260 = 1851/1260
  5. 1851/1260 simplified gives 617/420
  6. So, 45/84 + 42/45 = 617/420
    In mixed form: 1197/420

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