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Add 3/45 and 14/49

3/45 + 14/49 is 37/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 49 is 2205

    Next, find the equivalent fraction of both fractional numbers with denominator 2205
  2. For the 1st fraction, since 45 × 49 = 2205,
    3/45 = 3 × 49/45 × 49 = 147/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    14/49 = 14 × 45/49 × 45 = 630/2205
  4. Add the two like fractions:
    147/2205 + 630/2205 = 147 + 630/2205 = 777/2205
  5. 777/2205 simplified gives 37/105
  6. So, 3/45 + 14/49 = 37/105

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