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Add 8/27 and 40/50

8/27 + 40/50 is 148/135.

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,
    40/50 = 40 × 27/50 × 27 = 1080/1350
  4. Add the two like fractions:
    400/1350 + 1080/1350 = 400 + 1080/1350 = 1480/1350
  5. 1480/1350 simplified gives 148/135
  6. So, 8/27 + 40/50 = 148/135
    In mixed form: 113/135

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