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Add 45/54 and 40/49

45/54 + 40/49 is 485/294.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 2646
  2. For the 1st fraction, since 54 × 49 = 2646,
    45/54 = 45 × 49/54 × 49 = 2205/2646
  3. Likewise, for the 2nd fraction, since 49 × 54 = 2646,
    40/49 = 40 × 54/49 × 54 = 2160/2646
  4. Add the two like fractions:
    2205/2646 + 2160/2646 = 2205 + 2160/2646 = 4365/2646
  5. 4365/2646 simplified gives 485/294
  6. So, 45/54 + 40/49 = 485/294
    In mixed form: 1191/294

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