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Add 15/40 and 40/90

15/40 + 40/90 is 59/72.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 40 and 90 is 360
  2. For the 1st fraction, since 40 × 9 = 360,
    15/40 = 15 × 9/40 × 9 = 135/360
  3. Likewise, for the 2nd fraction, since 90 × 4 = 360,
    40/90 = 40 × 4/90 × 4 = 160/360
  4. Add the two fractions:
    135/360 + 160/360 = 135 + 160/360 = 295/360
  5. 295/360 simplified gives 59/72
  6. So, 15/40 + 40/90 = 59/72

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