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Add 20/9 and 40/45

1st number: 2 2/9, 2nd number: 40/45

20/9 + 40/45 is 28/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 45 is 45

    Next, find the equivalent fraction of both fractional numbers with denominator 45
  2. For the 1st fraction, since 9 × 5 = 45,
    20/9 = 20 × 5/9 × 5 = 100/45
  3. Likewise, for the 2nd fraction, since 45 × 1 = 45,
    40/45 = 40 × 1/45 × 1 = 40/45
  4. Add the two like fractions:
    100/45 + 40/45 = 100 + 40/45 = 140/45
  5. 140/45 simplified gives 28/9
  6. So, 20/9 + 40/45 = 28/9
    In mixed form: 31/9

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