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Add 9/49 and 21/45

9/49 + 21/45 is 478/735.

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,
    9/49 = 9 × 45/49 × 45 = 405/2205
  3. Likewise, for the 2nd fraction, since 45 × 49 = 2205,
    21/45 = 21 × 49/45 × 49 = 1029/2205
  4. Add the two like fractions:
    405/2205 + 1029/2205 = 405 + 1029/2205 = 1434/2205
  5. 1434/2205 simplified gives 478/735
  6. So, 9/49 + 21/45 = 478/735

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