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Add 40/9 and 16/40

1st number: 4 4/9, 2nd number: 16/40

40/9 + 16/40 is 218/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 40 is 360

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 9 × 40 = 360,
    40/9 = 40 × 40/9 × 40 = 1600/360
  3. Likewise, for the 2nd fraction, since 40 × 9 = 360,
    16/40 = 16 × 9/40 × 9 = 144/360
  4. Add the two like fractions:
    1600/360 + 144/360 = 1600 + 144/360 = 1744/360
  5. 1744/360 simplified gives 218/45
  6. So, 40/9 + 16/40 = 218/45
    In mixed form: 438/45

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