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Add 40/9 and 72/20

1st number: 4 4/9, 2nd number: 3 12/20

40/9 + 72/20 is 362/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 9 and 20 is 180

    Next, find the equivalent fraction of both fractional numbers with denominator 180
  2. For the 1st fraction, since 9 × 20 = 180,
    40/9 = 40 × 20/9 × 20 = 800/180
  3. Likewise, for the 2nd fraction, since 20 × 9 = 180,
    72/20 = 72 × 9/20 × 9 = 648/180
  4. Add the two like fractions:
    800/180 + 648/180 = 800 + 648/180 = 1448/180
  5. 1448/180 simplified gives 362/45
  6. So, 40/9 + 72/20 = 362/45
    In mixed form: 82/45

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