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Add 10/20 and 30/49

10/20 + 30/49 is 109/98.

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,
    10/20 = 10 × 49/20 × 49 = 490/980
  3. Likewise, for the 2nd fraction, since 49 × 20 = 980,
    30/49 = 30 × 20/49 × 20 = 600/980
  4. Add the two like fractions:
    490/980 + 600/980 = 490 + 600/980 = 1090/980
  5. 1090/980 simplified gives 109/98
  6. So, 10/20 + 30/49 = 109/98
    In mixed form: 111/98

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