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Add 20/45 and 40/75

20/45 + 40/75 is 44/45.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 75 is 225

    Next, find the equivalent fraction of both fractional numbers with denominator 225
  2. For the 1st fraction, since 45 × 5 = 225,
    20/45 = 20 × 5/45 × 5 = 100/225
  3. Likewise, for the 2nd fraction, since 75 × 3 = 225,
    40/75 = 40 × 3/75 × 3 = 120/225
  4. Add the two like fractions:
    100/225 + 120/225 = 100 + 120/225 = 220/225
  5. 220/225 simplified gives 44/45
  6. So, 20/45 + 40/75 = 44/45

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