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Add 40/75 and 3/63

40/75 + 3/63 is 61/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 63 is 1575

    Next, find the equivalent fraction of both fractional numbers with denominator 1575
  2. For the 1st fraction, since 75 × 21 = 1575,
    40/75 = 40 × 21/75 × 21 = 840/1575
  3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
    3/63 = 3 × 25/63 × 25 = 75/1575
  4. Add the two like fractions:
    840/1575 + 75/1575 = 840 + 75/1575 = 915/1575
  5. 915/1575 simplified gives 61/105
  6. So, 40/75 + 3/63 = 61/105

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