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Add 14/20 and 18/49

14/20 + 18/49 is 523/490.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 49 is 980

    Next, find the equivalent fraction of both fractional numbers with denominator 980
  2. For the 1st fraction, since 20 × 49 = 980,
    14/20 = 14 × 49/20 × 49 = 686/980
  3. Likewise, for the 2nd fraction, since 49 × 20 = 980,
    18/49 = 18 × 20/49 × 20 = 360/980
  4. Add the two like fractions:
    686/980 + 360/980 = 686 + 360/980 = 1046/980
  5. 1046/980 simplified gives 523/490
  6. So, 14/20 + 18/49 = 523/490
    In mixed form: 133/490

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