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Add 30/90 and 9/40

30/90 + 9/40 is 67/120.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 90 and 40 is 360
  2. For the 1st fraction, since 90 × 4 = 360,
    30/90 = 30 × 4/90 × 4 = 120/360
  3. Likewise, for the 2nd fraction, since 40 × 9 = 360,
    9/40 = 9 × 9/40 × 9 = 81/360
  4. Add the two fractions:
    120/360 + 81/360 = 120 + 81/360 = 201/360
  5. 201/360 simplified gives 67/120
  6. So, 30/90 + 9/40 = 67/120

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