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Add 45/84 and 9/16

45/84 + 9/16 is 123/112.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 84 and 16 is 336

    Next, find the equivalent fraction of both fractional numbers with denominator 336
  2. For the 1st fraction, since 84 × 4 = 336,
    45/84 = 45 × 4/84 × 4 = 180/336
  3. Likewise, for the 2nd fraction, since 16 × 21 = 336,
    9/16 = 9 × 21/16 × 21 = 189/336
  4. Add the two like fractions:
    180/336 + 189/336 = 180 + 189/336 = 369/336
  5. 369/336 simplified gives 123/112
  6. So, 45/84 + 9/16 = 123/112
    In mixed form: 111/112

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