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Add 7/21 and 40/45

7/21 + 40/45 is 11/9.

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,
    7/21 = 7 × 15/21 × 15 = 105/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    40/45 = 40 × 7/45 × 7 = 280/315
  4. Add the two like fractions:
    105/315 + 280/315 = 105 + 280/315 = 385/315
  5. 385/315 simplified gives 11/9
  6. So, 7/21 + 40/45 = 11/9
    In mixed form: 12/9

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