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Add 8/27 and 45/50

8/27 + 45/50 is 323/270.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 27 and 50 is 1350

    Next, find the equivalent fraction of both fractional numbers with denominator 1350
  2. For the 1st fraction, since 27 × 50 = 1350,
    8/27 = 8 × 50/27 × 50 = 400/1350
  3. Likewise, for the 2nd fraction, since 50 × 27 = 1350,
    45/50 = 45 × 27/50 × 27 = 1215/1350
  4. Add the two like fractions:
    400/1350 + 1215/1350 = 400 + 1215/1350 = 1615/1350
  5. 1615/1350 simplified gives 323/270
  6. So, 8/27 + 45/50 = 323/270
    In mixed form: 153/270

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