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Add 3/24 and 45/49

3/24 + 45/49 is 409/392.

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,
    3/24 = 3 × 49/24 × 49 = 147/1176
  3. Likewise, for the 2nd fraction, since 49 × 24 = 1176,
    45/49 = 45 × 24/49 × 24 = 1080/1176
  4. Add the two like fractions:
    147/1176 + 1080/1176 = 147 + 1080/1176 = 1227/1176
  5. 1227/1176 simplified gives 409/392
  6. So, 3/24 + 45/49 = 409/392
    In mixed form: 117/392

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