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Add 8/35 and 30/40

8/35 + 30/40 is 137/140.

Steps for adding fractions

  1. Find the least common denominator or LCM of the two denominators:
    LCM of 35 and 40 is 280

    Next, find the equivalent fraction of both fractional numbers with denominator 280
  2. For the 1st fraction, since 35 × 8 = 280,
    8/35 = 8 × 8/35 × 8 = 64/280
  3. Likewise, for the 2nd fraction, since 40 × 7 = 280,
    30/40 = 30 × 7/40 × 7 = 210/280
  4. Add the two like fractions:
    64/280 + 210/280 = 64 + 210/280 = 274/280
  5. 274/280 simplified gives 137/140
  6. So, 8/35 + 30/40 = 137/140

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