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Add 27/45 and 21/49

27/45 + 21/49 is 36/35.

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,
    27/45 = 27 × 49/45 × 49 = 1323/2205
  3. Likewise, for the 2nd fraction, since 49 × 45 = 2205,
    21/49 = 21 × 45/49 × 45 = 945/2205
  4. Add the two like fractions:
    1323/2205 + 945/2205 = 1323 + 945/2205 = 2268/2205
  5. 2268/2205 simplified gives 36/35
  6. So, 27/45 + 21/49 = 36/35
    In mixed form: 11/35

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