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Add 2/21 and 9/45

2/21 + 9/45 is 31/105.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 21 × 15 = 315,
    2/21 = 2 × 15/21 × 15 = 30/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    9/45 = 9 × 7/45 × 7 = 63/315
  4. Add the two like fractions:
    30/315 + 63/315 = 30 + 63/315 = 93/315
  5. 93/315 simplified gives 31/105
  6. So, 2/21 + 9/45 = 31/105

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