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Add 4/21 and 40/45

4/21 + 40/45 is 68/63.

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,
    4/21 = 4 × 15/21 × 15 = 60/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    40/45 = 40 × 7/45 × 7 = 280/315
  4. Add the two like fractions:
    60/315 + 280/315 = 60 + 280/315 = 340/315
  5. 340/315 simplified gives 68/63
  6. So, 4/21 + 40/45 = 68/63
    In mixed form: 15/63

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