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Add 40/45 and 42/63

40/45 + 42/63 is 14/9.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 45 and 63 is 315

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 45 × 7 = 315,
    40/45 = 40 × 7/45 × 7 = 280/315
  3. Likewise, for the 2nd fraction, since 63 × 5 = 315,
    42/63 = 42 × 5/63 × 5 = 210/315
  4. Add the two like fractions:
    280/315 + 210/315 = 280 + 210/315 = 490/315
  5. 490/315 simplified gives 14/9
  6. So, 40/45 + 42/63 = 14/9
    In mixed form: 15/9

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