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Add 36/45 and 4/49

36/45 + 4/49 is 216/245.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 49 is 2205
  2. For the 1st fraction, since 45 × 49 = 2205,
    36/45 = 36 × 49/45 × 49 = 1764/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    4/49 = 4 × 45/49 × 45 = 180/2205
  4. Add the two fractions:
    1764/2205 + 180/2205 = 1764 + 180/2205 = 1944/2205
  5. 1944/2205 simplified gives 216/245
  6. So, 36/45 + 4/49 = 216/245

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