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Add 20/3 and 42/45

1st number: 6 2/3, 2nd number: 42/45

20/3 + 42/45 is 38/5.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 3 and 45 is 45

    Next, find the equivalent fraction of both fractional numbers with denominator 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,
    42/45 = 42 × 1/45 × 1 = 42/45
  4. Add the two like fractions:
    300/45 + 42/45 = 300 + 42/45 = 342/45
  5. 342/45 simplified gives 38/5
  6. So, 20/3 + 42/45 = 38/5
    In mixed form: 73/5

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