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Add 40/35 and 75/8

1st number: 1 5/35, 2nd number: 9 3/8

40/35 + 75/8 is 589/56.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 8 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 35 × 8 = 280,
    40/35 = 40 × 8/35 × 8 = 320/280
  3. Likewise, for the 2nd fraction, since 8 × 35 = 280,
    75/8 = 75 × 35/8 × 35 = 2625/280
  4. Add the two like fractions:
    320/280 + 2625/280 = 320 + 2625/280 = 2945/280
  5. 2945/280 simplified gives 589/56
  6. So, 40/35 + 75/8 = 589/56
    In mixed form: 1029/56

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