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Add 30/40 and 40/45

30/40 + 40/45 is 59/36.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 45 is 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 45 × 8 = 360,
    40/45 = 40 × 8/45 × 8 = 320/360
  4. Add the two fractions:
    270/360 + 320/360 = 270 + 320/360 = 590/360
  5. 590/360 simplified gives 59/36
  6. So, 30/40 + 40/45 = 59/36
    In mixed form: 123/36

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