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Add 40/9 and 30/40

1st number: 4 4/9, 2nd number: 30/40

40/9 + 30/40 is 187/36.

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,
    30/40 = 30 × 9/40 × 9 = 270/360
  4. Add the two like fractions:
    1600/360 + 270/360 = 1600 + 270/360 = 1870/360
  5. 1870/360 simplified gives 187/36
  6. So, 40/9 + 30/40 = 187/36
    In mixed form: 57/36

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