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Add 36/49 and 21/54

36/49 + 21/54 is 991/882.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 49 and 54 is 2646

    Next, find the equivalent fraction of both fractional numbers with denominator 2646
  2. For the 1st fraction, since 49 × 54 = 2646,
    36/49 = 36 × 54/49 × 54 = 1944/2646
  3. Likewise, for the 2nd fraction, since 54 × 49 = 2646,
    21/54 = 21 × 49/54 × 49 = 1029/2646
  4. Add the two like fractions:
    1944/2646 + 1029/2646 = 1944 + 1029/2646 = 2973/2646
  5. 2973/2646 simplified gives 991/882
  6. So, 36/49 + 21/54 = 991/882
    In mixed form: 1109/882

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