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Add 20/3 and 40/45

1st number: 6 2/3, 2nd number: 40/45

20/3 + 40/45 is 68/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 3 and 45 is 45
  2. For the 1st fraction, since 3 × 15 = 45,
    20/3 = 20 × 15/3 × 15 = 300/45
  3. Likewise, for the 2nd fraction, since 45 × 1 = 45,
    40/45 = 40 × 1/45 × 1 = 40/45
  4. Add the two fractions:
    300/45 + 40/45 = 300 + 40/45 = 340/45
  5. 340/45 simplified gives 68/9
  6. So, 20/3 + 40/45 = 68/9
    In mixed form: 75/9

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