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Add 9/24 and 16/49

9/24 + 16/49 is 275/392.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 24 and 49 is 1176

    Next, find the equivalent fraction of both fractional numbers with denominator 1176
  2. For the 1st fraction, since 24 × 49 = 1176,
    9/24 = 9 × 49/24 × 49 = 441/1176
  3. Likewise, for the 2nd fraction, since 49 × 24 = 1176,
    16/49 = 16 × 24/49 × 24 = 384/1176
  4. Add the two like fractions:
    441/1176 + 384/1176 = 441 + 384/1176 = 825/1176
  5. 825/1176 simplified gives 275/392
  6. So, 9/24 + 16/49 = 275/392

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