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Add 18/49 and 36/45

18/49 + 36/45 is 286/245.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2205
  2. For the 1st fraction, since 49 × 45 = 2205,
    18/49 = 18 × 45/49 × 45 = 810/2205
  3. Likewise, for the 2nd fraction, since 45 × 49 = 2205,
    36/45 = 36 × 49/45 × 49 = 1764/2205
  4. Add the two like fractions:
    810/2205 + 1764/2205 = 810 + 1764/2205 = 2574/2205
  5. 2574/2205 simplified gives 286/245
  6. So, 18/49 + 36/45 = 286/245
    In mixed form: 141/245

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