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Add 3/45 and 20/21

3/45 + 20/21 is 107/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 21 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    3/45 = 3 × 7/45 × 7 = 21/315
  3. Likewise, for the 2nd fraction, since 21 × 15 = 315,
    20/21 = 20 × 15/21 × 15 = 300/315
  4. Add the two like fractions:
    21/315 + 300/315 = 21 + 300/315 = 321/315
  5. 321/315 simplified gives 107/105
  6. So, 3/45 + 20/21 = 107/105
    In mixed form: 12/105

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