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Add 35/75 and 40/63

35/75 + 40/63 is 347/315.

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,
    35/75 = 35 × 21/75 × 21 = 735/1575
  3. Likewise, for the 2nd fraction, since 63 × 25 = 1575,
    40/63 = 40 × 25/63 × 25 = 1000/1575
  4. Add the two like fractions:
    735/1575 + 1000/1575 = 735 + 1000/1575 = 1735/1575
  5. 1735/1575 simplified gives 347/315
  6. So, 35/75 + 40/63 = 347/315
    In mixed form: 132/315

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