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Add 10/20 and 30/75

10/20 + 30/75 is 9/10.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 20 and 75 is 300

    Next, find the equivalent fraction of both fractional numbers with denominator 300
  2. For the 1st fraction, since 20 × 15 = 300,
    10/20 = 10 × 15/20 × 15 = 150/300
  3. Likewise, for the 2nd fraction, since 75 × 4 = 300,
    30/75 = 30 × 4/75 × 4 = 120/300
  4. Add the two like fractions:
    150/300 + 120/300 = 150 + 120/300 = 270/300
  5. 270/300 simplified gives 9/10
  6. So, 10/20 + 30/75 = 9/10

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