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Add 30/75 and 20/21

30/75 + 20/21 is 142/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 21 is 525

    Next, find the equivalent fraction of both fractional numbers with denominator 525
  2. For the 1st fraction, since 75 × 7 = 525,
    30/75 = 30 × 7/75 × 7 = 210/525
  3. Likewise, for the 2nd fraction, since 21 × 25 = 525,
    20/21 = 20 × 25/21 × 25 = 500/525
  4. Add the two like fractions:
    210/525 + 500/525 = 210 + 500/525 = 710/525
  5. 710/525 simplified gives 142/105
  6. So, 30/75 + 20/21 = 142/105
    In mixed form: 137/105

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