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Add 30/40 and 5/9

30/40 + 5/9 is 47/36.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 360
  2. For the 1st fraction, since 40 × 9 = 360,
    30/40 = 30 × 9/40 × 9 = 270/360
  3. Likewise, for the 2nd fraction, since 9 × 40 = 360,
    5/9 = 5 × 40/9 × 40 = 200/360
  4. Add the two like fractions:
    270/360 + 200/360 = 270 + 200/360 = 470/360
  5. 470/360 simplified gives 47/36
  6. So, 30/40 + 5/9 = 47/36
    In mixed form: 111/36

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