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Add 3/49 and 21/45

3/49 + 21/45 is 388/735.

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,
    3/49 = 3 × 45/49 × 45 = 135/2205
  3. Likewise, for the 2nd fraction, since 45 × 49 = 2205,
    21/45 = 21 × 49/45 × 49 = 1029/2205
  4. Add the two like fractions:
    135/2205 + 1029/2205 = 135 + 1029/2205 = 1164/2205
  5. 1164/2205 simplified gives 388/735
  6. So, 3/49 + 21/45 = 388/735

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