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Add 10/14 and 9/49

10/14 + 9/49 is 44/49.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 14 and 49 is 98
  2. For the 1st fraction, since 14 × 7 = 98,
    10/14 = 10 × 7/14 × 7 = 70/98
  3. Likewise, for the 2nd fraction, since 49 × 2 = 98,
    9/49 = 9 × 2/49 × 2 = 18/98
  4. Add the two fractions:
    70/98 + 18/98 = 70 + 18/98 = 88/98
  5. 88/98 simplified gives 44/49
  6. So, 10/14 + 9/49 = 44/49

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