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Add 20/21 and 40/45

20/21 + 40/45 is 116/63.

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,
    20/21 = 20 × 15/21 × 15 = 300/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    40/45 = 40 × 7/45 × 7 = 280/315
  4. Add the two like fractions:
    300/315 + 280/315 = 300 + 280/315 = 580/315
  5. 580/315 simplified gives 116/63
  6. So, 20/21 + 40/45 = 116/63
    In mixed form: 153/63

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