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Add 40/75 and 45/7

1st number: 40/75, 2nd number: 6 3/7

40/75 + 45/7 is 731/105.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 75 and 7 is 525

    Next, find the equivalent fraction of both fractional numbers with denominator 525
  2. For the 1st fraction, since 75 × 7 = 525,
    40/75 = 40 × 7/75 × 7 = 280/525
  3. Likewise, for the 2nd fraction, since 7 × 75 = 525,
    45/7 = 45 × 75/7 × 75 = 3375/525
  4. Add the two like fractions:
    280/525 + 3375/525 = 280 + 3375/525 = 3655/525
  5. 3655/525 simplified gives 731/105
  6. So, 40/75 + 45/7 = 731/105
    In mixed form: 6101/105

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