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Add 36/45 and 48/49

36/45 + 48/49 is 436/245.

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,
    36/45 = 36 × 49/45 × 49 = 1764/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    48/49 = 48 × 45/49 × 45 = 2160/2205
  4. Add the two like fractions:
    1764/2205 + 2160/2205 = 1764 + 2160/2205 = 3924/2205
  5. 3924/2205 simplified gives 436/245
  6. So, 36/45 + 48/49 = 436/245
    In mixed form: 1191/245

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