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Add 21/24 and 18/49

21/24 + 18/49 is 487/392.

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,
    21/24 = 21 × 49/24 × 49 = 1029/1176
  3. Likewise, for the 2nd fraction, since 49 × 24 = 1176,
    18/49 = 18 × 24/49 × 24 = 432/1176
  4. Add the two like fractions:
    1029/1176 + 432/1176 = 1029 + 432/1176 = 1461/1176
  5. 1461/1176 simplified gives 487/392
  6. So, 21/24 + 18/49 = 487/392
    In mixed form: 195/392

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