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Add 9/45 and 21/49

9/45 + 21/49 is 22/35.

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,
    9/45 = 9 × 49/45 × 49 = 441/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    21/49 = 21 × 45/49 × 45 = 945/2205
  4. Add the two fractions:
    441/2205 + 945/2205 = 441 + 945/2205 = 1386/2205
  5. 1386/2205 simplified gives 22/35
  6. So, 9/45 + 21/49 = 22/35

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