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Add 8/10 and 2/9

8/10 + 2/9 is 46/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 10 and 9 is 90

    Next, find the equivalent fraction of both fractional numbers with denominator 90
  2. For the 1st fraction, since 10 × 9 = 90,
    8/10 = 8 × 9/10 × 9 = 72/90
  3. Likewise, for the 2nd fraction, since 9 × 10 = 90,
    2/9 = 2 × 10/9 × 10 = 20/90
  4. Add the two like fractions:
    72/90 + 20/90 = 72 + 20/90 = 92/90
  5. 92/90 simplified gives 46/45
  6. So, 8/10 + 2/9 = 46/45
    In mixed form: 11/45

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