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Add 40/63 and 28/45

40/63 + 28/45 is 44/35.

Steps for adding fractions

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

    Next, find the equivalent fraction of both fractional numbers with denominator 315
  2. For the 1st fraction, since 63 × 5 = 315,
    40/63 = 40 × 5/63 × 5 = 200/315
  3. Likewise, for the 2nd fraction, since 45 × 7 = 315,
    28/45 = 28 × 7/45 × 7 = 196/315
  4. Add the two like fractions:
    200/315 + 196/315 = 200 + 196/315 = 396/315
  5. 396/315 simplified gives 44/35
  6. So, 40/63 + 28/45 = 44/35
    In mixed form: 19/35

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