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Add 40/9 and 10/15

1st number: 4 4/9, 2nd number: 10/15

40/9 + 10/15 is 46/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 15 is 45

    Next, find the equivalent fraction of both fractional numbers with denominator 45
  2. For the 1st fraction, since 9 × 5 = 45,
    40/9 = 40 × 5/9 × 5 = 200/45
  3. Likewise, for the 2nd fraction, since 15 × 3 = 45,
    10/15 = 10 × 3/15 × 3 = 30/45
  4. Add the two like fractions:
    200/45 + 30/45 = 200 + 30/45 = 230/45
  5. 230/45 simplified gives 46/9
  6. So, 40/9 + 10/15 = 46/9
    In mixed form: 51/9

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